PUBLICATIONS
Martínez-Legaz,
J. E.; Pintea, C.
Closed convex
sets of Motzkin, generalized Minkowski, and Pareto bordered types.
Commun. Optim. Theory 2024 (2024) 2, 17 pp.
Martínez-Legaz, J. E.
Fenchel
subdifferential operators: A characterization without cyclic monotonicity.
J. Appl. Numer. Optim. 5 (2023), no. 1, 181-187.
Martínez-Legaz,
J. E.; Pintea, C.
On
the Gauss range of a closed convex set.
J. Convex Anal. 30 (2023), no. 4, 1203–1216.
Martínez-Legaz, J. E.
A
mean value theorem for tangentially convex functions.
Set-Valued Var. Anal. 31 (2023), no. 2, Paper No. 13, 10
pp.
Martínez-Legaz, J. E.; Tamadoni Jahromi, M.; Naraghirad,
E.
On Bregman-type distances and
their associated projection mappings.
J. Optim. Theory Appl. 193 (2022), no. 1-3, 107–117.
Martínez-Legaz, J. E.; Tamadoni Jahromi, M.; Naraghirad,
E.
On farthest Bregman
Voronoi cells.
Optimization 71 (2022), no. 4, 937–947.
zbMATH
Martínez-Legaz, J. E.; Sosa, W.
Duality for quasiconvex minimization over
closed convex cones.
Optim. Lett. 16 (2022), no. 4, 1337–1352.
Correction: Optim. Lett. 16 (2022), no.
4, 1353–1354.
Jordán, A.; Martínez-Legaz, J. E.
Duality between multi-output production
correspondences and cost functions.
Set-Valued Var. Anal. 29 (2021), no. 4, 915–929.
Martínez-Legaz, J. E.; Pintea, C.
Closed convex sets with an open or closed
Gauss range.
Math. Program. 189 (2021),
no. 1-2, Ser. B, 433–454.
Dutta,
J.; Martínez-Legaz, J. E.
Error bounds for inequality systems
defining convex sets.
Math. Program. 189 (2021), no. 1-2, Ser. B, 299–314.
.
Jordán, A.; Martínez-Legaz, J. E.
Co-radiant
set-valued mappings.
J. Convex Anal. 27 (2020), no. 2, 391–407.
Volle, M.; Martínez-Legaz, J. E.
Some remarks on Greenberg-Pierskalla
subdifferentiability of quasiconvex functions.
Vietnam J. Math. 48 (2020), no. 2, 391–406.
zbMATH
Allevi, E.; Martínez-Legaz, J. E.; Riccardi, R.
Optimality conditions for convex problems
on intersections of non
necessarily convex sets.
J. Global Optim. 77
(2020), no. 1, 143–155.
zbMATH
Goberna, M. A.;
Martínez-Legaz, J. E.; Todorov, M. I.
On farthest Voronoi cells.
Linear Algebra Appl. 583 (2019), 306–322.
Martínez-Legaz, J. E.; Roshchina, V.; Todorov, M.
On the structure of higher order Voronoi
cells.
J. Optim. Theory Appl. 183 (2019), no. 1, 24–49.
Martínez-Legaz, J. E.; Thibault, L.
A
subdifferential characterization of Motzkin decomposable functions.
Optimization 68 (2019), no. 7, 1279–1287.
zbMATH
Martínez-Legaz, J. E.; Noll, Dominikus; Sosa, Wilfredo
Non-polyhedral
extensions of the Frank and Wolfe theorem.
Splitting algorithms, modern operator theory, and applications, 309–329,
Springer, Cham, [2019] .
Hadjisavvas, N.; Lara, F.; Martínez-Legaz, J. E..
A Quasiconvex Asymptotic Function with
Applications in Optimization.
J. Optim. Theory Appl. 180 (2019), no. 1, 170–186.
Burachik, R. S.; Martínez-Legaz, J. E.
On Bregman-type distances for convex
functions and maximally monotone operators.
Set-Valued Var. Anal. 26 (2018), no. 2, 369–384.
Martínez-Legaz, J. E.; Noll, D.; Sosa, W..
Minimization
of quadratic functions on convex sets without asymptotes.
J.
Convex Anal. 25 (2018), no. 2, 623–641.
zbMATH
Bonenti, F.; Martínez-Legaz,
J. E.; Riccardi, R.
A
general nonconvex multiduality principle.
J. Optim. Theory Appl. 176 (2018), no. 3, 527–540
Martínez-Legaz, J. E.; Todorov, M. I.
Weakly
Motzkin predecomposable sets.
Set-Valued Var. Anal. 25 (2017), no. 3, 507–516.
zbMATH
Elias, L. M.; Martínez-Legaz, J. E.
A generalization of
the strong Fitzpatrick inequality.
Optimization 66 (2017), no. 6, 917–923.
Huang, C.-H.; Chen, J.-S.; Martínez-Legaz, J. E..
Differentiability
v.s. convexity for complementarity functions.
Optim. Lett. 11 (2017), no. 1, 209–216.
Martínez-Legaz, J. E.; Soubeyran, A.
Convergence
in a sequential two stage decision making process.
Bull. Iranian Math. Soc. 42 (2016), no. 7, 25–29.
Wagner, A.; Martínez-Legaz, J. E.; Tammer,
C.
Locating a
semi-obnoxious facility—a Toland-Singer duality based approach.
J. Convex Anal. 23 (2016), no. 4, 1185–1204.
Martínez-Legaz, J. E.; Pintea,C.
Closed convex sets of
Minkowski type.
J. Math. Anal. Appl. 444 (2016), no. 2, 1195–1202.
Goberna,
M. A.; Martínez-Legaz, J. E.; Vera de Serio, V. N.
The Voronoi inverse
mapping.
Linear Algebra Appl. 504 (2016), 248–271.
Hadjisavvas, N.; Jacinto,
F. M. O.; Martínez-Legaz, J. E.
Some conditions for maximal monotonicity of
bifunctions.
Set-Valued Var. Anal. 24 (2016), no. 2, 323–332.
Elias, L. M.;
Martínez-Legaz, J. E.
A simplified
conjugation scheme for lower semi-continuous functions.
Optimization 65 (2016), no. 4, 751–763.
Burachik, R. S.;
Martínez-Legaz, J. E.; Rezaie, M.; Théra, M.
An additive
subfamily of enlargements of a maximally monotone operator.
Set-Valued Var. Anal. 23 (2015), no. 4, 643–665.
zbMATH
Erratum:
Set-Valued Var. Anal. 23 (2015), no. 4, 667–668.
Volle, M.; Martínez-Legaz, J.
E.; Vicente-Pérez, J.
Duality for closed convex functions and
evenly convex functions.
J. Optim. Theory Appl. 167 (2015), no. 3, 985–997.
.
Martínez-Legaz, J. E.; Rocco, Marco
On a surjectivity-type property for maximal monotone operators.
Pac. J. Optim. 11 (2015), no. 3, 449–457.
MathSciNet
zbMATH
Martínez-Legaz, J. E.
Optimality conditions for pseudoconvex minimization over convex sets defined by
tangentially convex constraints.
Optim. Lett. 9 (2015), no. 5, 1017–1023.
zbMATH
Bonenti, F.; Martínez-Legaz,
J. E.
On the existence of a saddle value.
J. Optim. Theory Appl. 165 (2015), no. 3, 785–792.
zbMATH
Martínez-Legaz, J. E.
The contribution of
K.-H. Elster to generalized conjugation theory
and nonconvex duality.
Optimization 64 (2015), no. 1, 87–96.
Martínez-Legaz, J. E.
Integration of the Fenchel subdifferentials revisited.
Vietnam J. Math. 42 (2014), no. 4, 533-542
Iusem, A. N.; Martínez-Legaz, J. E.; Todorov, M. I.
Motzkin predecomposable sets.
J. Global Optim. 60 (2014), no.
4, 635–647.
zbMATH
Bueno, O.;
Martínez-Legaz, J. E.; Svaiter, B. F.
On the
monotone polar and representable closures of monotone operators.
J. Convex Anal. 21 (2014), no. 2, 495–505.
zbMATH
Martínez-Legaz, J. E.; Todorov, M. I.; Zetina, C. A.
γ-active
constraints in convex semi-infinite programming.
Numer. Funct. Anal. Optim. 35 (2014), no. 7-9,
1078–1094.
Martínez-Legaz, J. E.
On Weierstrass
extreme value theorem.
Optim. Lett. 8 (2014), no. 1, 391–393.
Hantoute,
A.; Martínez-Legaz, J. E.
Characterization of Lipschitz continuous difference of convex functions.
J. Optim. Theory Appl. 159 (2013), no. 3, 673–680.
Goberna, M.A.; Iusem, A.; Martínez-Legaz, J. E.; Todorov, M. I.
Motzkin
decomposition of closed convex sets via truncation.
J. Math. Anal. Appl. 400 (2013), no. 1, 35–47.
Martínez-Legaz, J. E.; Vicente-Pérez, J.
Lexicographical
representation of convex sets.
J. Convex Anal. 19 (2012), no. 2, 485–496.
zbMATH
García Ramos, Y.;
Martínez-Legaz, J. E.; Simons, S.
New results on q-positivity.
Positivity 16 (2012), no. 3, 543–563
Martínez-Legaz, J. E.; Martinón,
A.
On the infimum of a quasiconvex vector
function over an intersection.
TOP 20 (2012), no. 2, 503–516.
Mohebi, H.;
Martínez-Legaz, J. E.; Rocco, M.
Some criteria for maximal abstract
monotonicity.
J. Global Optim. 53 (2012), no. 2, 137–163.
zbMATH
Bilbao, J. M.; Martínez-Legaz, J. E.
A convex
representation of totally balanced games.
J. Math. Anal. Appl. 387 (2012), no. 2, 1167–1175.
Martínez-Legaz, J. E.; Martinón,
A.
On the
infimum of a quasiconvex function over an intersection. Application to the
distance function.
J. Convex Anal. 18 (2011), no. 3, 687–698.
zbMATH
Ginchev, I.; Martínez-Legaz,
J. E.
Characterization of d.c. functions in terms of quasidifferentials.
Nonlinear Anal. 74 (2011), no. 17, 6781–6787.
Rocco, M.; Martínez-Legaz,
J. E.
On surjectivity results for maximal monotone operators of
type (D).
J. Convex Anal. 18 (2011), no. 2, 545–576.
Martínez-Legaz, J. E.; Vicente-Pérez, J.
The e-support
function of an e-convex set and conjugacy for e-convex functions.
J. Math. Anal. Appl. 376 (2011), no. 2, 602–612.
zbMATH
Burachik, R. S.; Martínez-Legaz, J. E.; Rocco, M.
On a sufficient condition for equality of two
maximal monotone operators.
Set-Valued
Var. Anal. 18 (2010), no. 3-4, 327–335.
Goberna, M. A.; Martínez-Legaz, J. E.;
Todorov, M. I.
On Motzkin
decomposable sets and functions.
J. Math. Anal. Appl. 372 (2010), no. 2, 525–537.
Goberna, M. A.;
González, E.; Martínez-Legaz, J. E.; Todorov, M. I.
Motzkin
decomposition of closed convex sets.
J. Math. Anal. Appl. 364 (2010), no. 1, 209–221.
zbMATH
Martínez-Legaz, J. E.
Convexity of Indirect
Utility Functions.
Homenaje al Dr. Antonio Martinón Cejas por su 60 cumpleańos, 153-159, San
Cristóbal de La Laguna, 2010.
Martínez-Legaz, J. E.
On
maximally qq-positive
sets.
J. Convex Anal. 16 (2009), no. 3-4, 891–898.
Martínez-Legaz, J. E.
What
is invexity with respect to the same ŋ?
Taiwanese J. Math. 13 (2009), no. 2B, 753-755.
Ferrer, A.; Martínez-Legaz,
J. E.
Improving the efficiency of DC global
optimization methods by improving the DC representation of the objective
function.
J. Global Optim. 43 (2009), no. 4, 513-531.
Martínez-Legaz, J. E.
Some generalizations of Rockafellar's surjectivity theorem.
Pac. J. Optim. 4 (2008), no. 3, 527–535.
MathSciNet
zbMATH
Dutta, J.; Martínez-Legaz, J. E.; Rubinov,
A. M.
Monotonic
analysis over cones. III.
J. Convex Anal. 15 (2008), no. 3, 561-579.
Martínez-Legaz, J. E.;
Singer, I.
Comparing
Fenchel-Moreau conjugates with level set conjugates.
J. Convex Anal. 15 (2008), no. 2, 285-297.
Martínez-Legaz,
J. E.; Svaiter, B. F.
Minimal
convex functions bounded below by the duality product.
Proc. Amer. Math. Soc. 136 (2008), no. 3, 873-878.
zbMATH
Martínez-Legaz, J. E.; Soubeyran,
A.
A
Tabu Search Scheme for Abstract Problems, with
Applications to the Computation of Fixed Points.
J. Math. Anal. Appl. 338 (2008), no. 1, 620-627.
zbMATH
Corrigendum: J.
Math. Anal. Appl. 342 (2008), no. 2, 1493.
Martínez-Legaz, J. E.
Convex
conjugation and duality for the solutions of a functional equation.
Vietnam J. Math. 35 (2007), no. 4, 481-493.
Martínez-Legaz, J. E.; Martinón, A.
Boundedly connected
sets and the distance to the intersection of two sets.
J. Math. Anal. Appl. 332 (2007), no. 1, 400-406.
Hiriart-Urruty, J.-B.; Martínez-Legaz, J. E.
Convex
solutions of a functional equation arising in information theory.
J. Math. Anal. Appl. 328 (2007), no. 2, 1309-1320.
zbMATH
Martínez-Legaz, J. E.; Quah, J. K.-H.
A contribution to duality
theory, applied to the measurement of risk aversion.
Econom. Theory 30 (2007), no. 2, 337-362.
zbMATH
Martínez-Legaz, J. E.; Sosa, W.
Duality for equilibrium
problems.
J. Global Optim. 35 (2006), no. 2, 311-319.
zbMATH
Martínez-Legaz, J. E.; Penot,
J.-P.
Regularization
by erasement.
Math. Scand. 98 (2006), no. 1, 97-124.
zbMATH
Martínez-Legaz, J. E.
Some characterizations of
convex games.
Recent advances in optimization, 293-303, Lecture Notes in Econom. and Math. Systems,
563, Springer, Berlin, 2006.
Martínez-Legaz, J. E.; Singer, I.
Some
conjugation formulas and subdifferential formulas of convex analysis
revisited.
J. Math.
Anal. Appl. 313 (2006), no. 2, 717-729..
Martínez-Legaz, J. E.
La interpretación económica de los
multiplicadores de Lagrange
Matematicalia 2 (2006), no. 5, 1-8.
López, M. A.;
Martínez-Legaz, J. E.
Farkas-type theorems for positively homogeneous
semi-infinite systems.
Optimization 54 (2005), no. 4-5, 421-431.
zbMATH
Martínez-Legaz, J. E.; Rubinov,
A. M.; Schaible, S.
Increasing quasiconcave
co-radiant functions with applications in mathematical economics.
Math. Methods Oper. Res. 61 (2005), no. 2,
261-280.
Erratum: Math. Methods Oper. Res. 85 (2017), no. 3, 521.
Martínez-Legaz, J. E.
On
Brickman's theorem.
J. Convex Anal. 12 (2005), no. 1, 139-143.
zbMATH
Martínez-Legaz, J. E.; Svaiter,
B. F.
Monotone
operators representable by l. s. c. convex functions.
Set-Valued Anal. 13 (2005), no. 1, 21-46.
zbMATH
Martínez-Legaz, J. E.
Generalized convex duality
and its economic applications.
Handbook of generalized convexity and generalized monotonicity, 237-292,
Nonconvex Optim. Appl., 76, Springer, New York, 2005.
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A.
M.
Monotonic
analysis over cones. II.
Optimization 53 (2004), no. 5-6, 529-547.
Dutta, J.;
Martínez-Legaz, J. E.; Rubinov, A. M.
Monotonic
analysis over cones. I.
Optimization 53 (2004), no. 2, 129-146.
zbMATH
Martínez-Legaz, J. E.
Banach's contractive mapping
principle
An Eponymous Dictionary of Economics (A Guide to
Laws and Theorems Named after Economists), 14-15, Edward Elgar,
Cheltenham-Northampton, 2004.
Martínez-Legaz, J. E.
Lagrange multipliers
An Eponymous Dictionary of Economics (A Guide to
Laws and Theorems Named after Economists), 143-144, Edward Elgar,
Cheltenham-Northampton, 2004.
Hiriart-Urruty, J.-B.; Martínez-Legaz, J. E.
New formulas
for the Legendre-Fenchel transform.
J. Math. Anal. Appl. 288 (2003), no. 2, 544-555.
zbMATH
Martínez-Legaz, J. E.; Meseguer,
A.
The indirect function of
an NTU game.
J. Math. Sci. (N. Y.) 116 (2003), no. 3, 3253-3265.
zbMATH
Getán, J.; Martínez-Legaz, J.
E.; Singer, I.
(*,s)-dualities.
J. Math. Sci. (N. Y.) 115 (2003), no. 4, 2506-2541.
Bilbao, J. M.;
Martínez-Legaz, J. E.
Some
applications of convex analysis to cooperative game theory.
J. Stat. Manag. Syst. 5 (2002), no. 1-3, 39-61.
Daniilidis, A.;
Martínez-Legaz, J. E.
Characterizations
of evenly convex sets and evenly quasiconvex functions.
J. Math. Anal. Appl. 273 (2002), no. 1, 58-66.
zbMATH
Martínez-Legaz, J. E.; Rubinov,
A. M.; Singer, I.
Downward sets and their separation and
approximation properties.
J. Global Optim. 23 (2002), no. 2, 111-137.
Daniilidis, A.; Hadjisavvas,
N.; Martínez-Legaz, J. E.
An appropriate
subdifferential for quasiconvex functions.
SIAM J. Optim. 12 (2001/02),
no. 2, 407-420 .
zbMATH
Martínez-Legaz,
J. E.; Rubinov, A. M.
Increasing
positively homogeneous functions defined on Rn.
Acta Math. Vietnam. 26 (2001), no. 3, 313-331.
zbMATH
Martínez-Legaz, J. E.; Volle, M.
Duality
for d. c. optimization over compact sets.
Optimization theory (Mátraháza, 1999), 139-146,
Appl. Optim., 59, Kluwer Acad. Publ., Dordrecht, 2001.
zbMATH
Dragan, I.; Martínez-Legaz, J. E.
On
the semivalues and the power core of cooperative
TU games.
Int. Game Theory Rev. 3 (2001), no. 2-3, 127-139.
zbMATH
Martínez-Legaz, J. E.; Théra,
M.
A convex representation of maximal monotone operators.
J. Nonlinear Convex Anal. 2 (2001), no. 2, 243-247.
MathSciNet
zbMATH
Martínez-Legaz, J. E.; Singer, I.
Semi-spaces and bases of
convexity systems in complete lattices.
Constructive, experimental, and nonlinear analysis (Limoges, 1999),
235-243, CMS Conf. Proc., 27, Amer. Math. Soc., Providence, RI, 2000.
MathSciNet
Martínez-Legaz, J. E.
Optimización matemática y sus aplicaciones
económicas
Varia Mathematica, 1, 97-153, Institut
d’Estudis Ilerdencs,
Lleida, 2000.
Bajona-Xandri,
C.; Martínez-Legaz, J. E.
Lower
subdifferentiability in minimax fractional programming.
Optimization 45 (1999), no. 1-4, 1-12.
Martínez-Legaz, J. E.
A new characterization of totally balanced games.
Topics in mathematical economics and game theory (Toronto, ON, 1995),
83-88, Fields Inst. Commun., 23, Amer. Math. Soc., Providence, RI, 1999.
MathSciNet
Luc, D. T.;
Martínez-Legaz, J. E..; Seeger, A.
Least
deviation decomposition with respect to a pair of convex sets.
J. Convex Anal. 6 (1999), no. 1, 115-140.
zbMATH
Martínez-Legaz,
J. E.; Sach, P. H.
A new
subdifferential in quasiconvex analysis.
J. Convex Anal. 6 (1999), no. 1, 1-11.
zbMATH
Martínez-Legaz, J. E.; Volle,
M.
Duality in D.C.
programming: the case of several D.C. constraints.
J. Math. Anal. Appl. 237 (1999), no. 2, 657-671.
Flores-Bazán, F.;
Martínez-Legaz, J. E.
Simplified global optimality conditions in generalized conjugation theory.
Generalized convexity, generalized monotonicity: recent results (Luminy, 1996), 305-329, Nonconvex Optim. Appl., 27,
Kluwer Acad. Publ., Dordrecht, 1998.
MathSciNet
zbMATH
Martínez-Legaz, J. E.; Singer, I.
On Φ-convexity of convex
functions.
Linear Algebra Appl. 278 (1998), no. 1-3, 163-181.
zbMATH
Martínez-Legaz, J. E.
A duality theory for
totally balanced games.
Proceedings of the IV Catalan Days of Applied Mathematics (Tarragona,
1998), 151-161, Univ. Rovira Virgili,
Tarragona, 1998.
MathSciNet
Martínez-Legaz, J. E.
Lexicographic utility and orderings.
In S. Barberŕ, P. J. Hammond, and C. Seidl, editors, Handbook of Utility Theory. Volume 1,
Principles, chapter 9, pages 345–369. Kluwer Academic Publishers, 1998.
Martinez-Legaz,
J. E.; Singer, I.
On conjugations for functions with
values in extensions of ordered groups.
Positivity 1 (1997), no. 3, 193-218.
zbMATH
Martínez-Legaz, J. E.
Characterization of R-evenly quasiconvex
functions.
J. Optim. Theory Appl. 95 (1997), no. 3, 717-722.
Martínez-Legaz, J. E.; Singer, I.
An
extension of d.c. duality theory, with an
appendix on *-subdifferentials.
Optimization 42 (1997), no. 1, 9-37.
Martínez-Legaz, J. E.
Lexicographical
characterization of the faces of convex sets.
Acta Math. Vietnam. 22 (1997), no. 1, 207-211.
zbMATH
Martínez-Legaz, J. E.; Théra,
M.
ε-Subdifferentials in terms of subdifferentials.
Set-Valued Anal. 4 (1996), no. 4, 327-332.
Martínez-Legaz, J. E.
On the uniqueness of perfect matchings in bipartite graphs.
Exposition. Math. 14 (1996), no. 5, 473-480.
MathSciNet
Martínez-Legaz, J. E.
Dual
representation of cooperative games based on Fenchel-Moreau conjugation.
Optimization 36 (1996), no. 4, 291-319.
Martínez-Legaz, J. E.;
Santos, M. S.
On expenditure
functions.
J. Math. Econom. 25 (1996), no. 2, 143-163.
Coutat, P.;
Volle, M.; Martínez-Legaz, J. E.
Convex functions with continuous
epigraph or continuous level sets.
J. Optim. Theory Appl. 88 (1996), no. 2, 365-379.
zbMATH
Martínez-Legaz, J. E.
On convex and quasiconvex
spectral functions.
Proceedings of the 2nd Catalan Days on Applied Mathematics (Odeillo, 1995), 199-208, Collect. Études, Presses
Univ. Perpignan, Perpignan, 1995.
MathSciNet
Martínez-Legaz, J. E.
Fenchel duality and related properties in generalized conjugation theory.
Southeast Asian Bull. Math. 19 (1995), no. 2, 99-106.
MathSciNet
Martínez-Legaz, J. E.;
Singer, I.
Dualities
associated to binary operations on $\overline R$.
J. Convex Anal. 2 (1995), no. 1-2, 185-209.
Martínez-Legaz, J. E.; Singer, I.
Subdifferentials
with respect to dualities.
ZOR-Math. Methods Oper. Res. 42 (1995),
no. 1, 109-125.
Crouzeix, J.-P.;
Martínez-Legaz, J. E.; Seeger, A.
An alternative
theorem for quadratic forms and extensions.
Linear Algebra Appl. 215 (1995), 121-134.
zbMATH
Martínez-Legaz,
J. E.; Singer, I.
∗-dualities.
Optimization 30 (1994), no. 4, 295-315.
Martínez-Legaz, J. E.;
Seeger, A.
A general cone decomposition theory based
on efficiency.
Math. Programming 65 (1994), no. 1, Ser. A, 1-20.
Martínez-Legaz, J. E.;
Seeger, A.
Yuan's alternative theorem and the
maximization of the minimum eigenvalue function.
J. Optim. Theory Appl. 82 (1994), no. 1, 159-167.
Martínez-Legaz, J. E.;
Singer, I.
Some
characterizations of perturbational dual problems.
Optimization 29 (1994), no. 2, 97-130.
Boncompte,
M.; Martínez-Legaz, J. E.
Weak lower
subdifferentiability in fractional programming.
Int. Trans. Oper. Res. 1, No.2, 265-270 (1994).
Marchi, E.;
Martínez-Legaz, J. E.
A
generalization of Fan-Browder's fixed point theorem and its applications.
Topol. Methods Nonlinear Anal. 2
(1993), no. 2, 277-291.
zbMATH
Martínez-Legaz, J. E.; Romano-Rodríguez, S.
α-lower subdifferentiable
functions.
SIAM J. Optim. 3 (1993), no. 4, 800-825.
zbMATH
Martínez-Legaz, J. E.; Singer, I.
Some further characterizations of unperturbational
dual problems.
Parametric optimization and related topics, III (Güstrow,
1991), 407-436, Approx. Optim., 3, Lang, Frankfurt am Main,
1993.
MathSciNet
zbMATH
Martínez-Legaz, J. E.
Axiomatic
characterizations of the duality correspondence in consumer theory.
J. Math. Econom. 22 (1993), no. 6,
509-522.
Martínez-Legaz, J. E.;
Romano-Rodríguez, S.
Lower subdifferentiability
of quadratic functions.
Math. Programming 60 (1993), no. 1, Ser. A, 93-113.
Martínez-Legaz, J. E.;
Santos, M. S.
Duality between direct and indirect
preferences.
Econom. Theory 3 (1993), no. 2,
335-351.
Martínez-Legaz, J. E.;
Singer, I.
Some
characterizations of surrogate dual problems.
Optimization 24 (1992), no. 1-2, 1-11.
Crouzeix, J.-P.; Martínez-Legaz, J. E.;
Seeger, A.
Un théorčme de l'alternative pour des formes quadratiques et quelques
extensions.
C. R. Acad. Sci. Paris Sér. I Math.
314 (1992), no. 7, 505-506.
MathSciNet
Martínez-Legaz,
J. E.; Seeger, A.
A formula on
the approximate subdifferential of the difference of convex functions.
Bull. Austral. Math. Soc. 45 (1992), no. 1, 37-41.
zbMATH
Martínez-Legaz, J. E.; Singer, I.
Some
characterizations of φ-Lagrangian dual problems.
Optimization 22 (1991), no. 6, 835-843.
zbMATH
Marchi, E.; Martínez-Legaz, J.
E.
Some results on approximate continuous selections, fixed
points and minimax inequalities.
Fixed point theory and applications (Marseille, 1989), 327-343,
Pitman Res. Notes Math. Ser., 252, Longman Sci. Tech., Harlow, 1991.
MathSciNet
zbMATH
Martínez-Legaz, J. E.; Singer, I.
Multi-order convexity.
Applied geometry and discrete mathematics, 471-488, DIMACS Ser. Discrete
Math. Theoret. Comput.
Sci., 4, Amer. Math. Soc., Providence, RI, 1991.
MathSciNet
zbMATH
Martínez-Legaz, J. E.
Characterizations of
efficient solutions under polyhedrality assumptions.
Z. Oper. Res. 35 (1991), no. 3, 221-230.
zbMATH
Martínez-Legaz, J. E.; Singer, I.
Compatible
preorders and linear operators on Rn.
Linear Algebra Appl. 153 (1991),
53-66.
zbMATH
Erratum: Linear Algebra Appl. 220 (1995), 5-6.
Martínez-Legaz,
J. E.; Singer, I.
∨-dualities and ⊥-dualities.
Optimization 22 (1991), no. 4, 483-511.
Errata corrige: Optimization 24 (1992), no. 1-2,
13.
Boncompte, M.; Martínez-Legaz,
J. E.
Fractional programming by lower
subdifferentiability techniques.
J. Optim. Theory Appl. 68 (1991), no. 1, 95-116.
zbMATH
Martínez-Legaz, J. E.
Duality between
direct and indirect utility functions under minimal hypotheses.
J. Math. Econom. 20 (1991), no. 2, 199-209.
Martínez-Legaz, J. E.
Uniform
approximation by classes of functions closed under translation and
pointwise supremum.
Numer. Funct. Anal. Optim. 11 (1991), no. 9-10,
967-986.
zbMATH
Martínez-Legaz, J. E.; Singer, I.
A characterization
of Lagrangian dual problems.
Note Mat. 10 (1990), suppl. 2, 389-394.
Martínez-Legaz, J. E.
Generalized conjugation and related topics.
Generalized convexity and fractional programming with economic applications
(Pisa, 1988), 168-197, Lecture Notes in Econom. and Math. Systems,
345, Springer, Berlin, 1990.
MathSciNet
Martínez-Legaz,
J. E.; Singer, I.
Dualities
between complete lattices.
Optimization 21 (1990), no. 4, 481-508.
zbMATH
Martínez-Legaz, J. E.
Weak
lower subdifferentials and applications.
Optimization 21 (1990), no. 3, 321-341.
Martínez-Legaz,
J. E.; Singer, I.
Lexicographical
order, lexicographical index, and linear operators.
Linear Algebra Appl. 128 (1990), 65-95.
zbMATH
Martínez-Legaz, J. E.
On lower subdifferentiable
functions.
Trends in mathematical optimization (Irsee,
1986), 197-232, Internat. Schriftenreihe Numer. Math., 84, Birkhäuser,
Basel, 1988.
MathSciNet
zbMAT
Martínez-Legaz,
J. E.; Singer, I.
The
structure of hemispaces in Rn.
Linear Algebra Appl. 110 (1988), 117-179.
zbMATH
Martínez-Legaz, J. E.
Quasiconvex
duality theory by generalized conjugation methods.
Optimization 19 (1988), no. 5, 603-652.
Martínez-Legaz, J. E.
Lexicographical
order and duality in multiobjective programming.
European J. Oper. Res. 33 (1988), no. 3, 342-348.
zbMATH
Martínez-Legaz, J. E.; Singer, I.
Surrogate
duality for vector optimization.
Numer. Funct. Anal. Optim. 9 (1987), no. 5-6,
547-568.
Martínez-Legaz,
J. E.; Singer, I.
Lexicographical
separation in Rn.
Linear Algebra Appl. 90 (1987), 147-163.
zbMATH
Martínez-Legaz, J. E.
Level
sets and the minimal time function of linear control processes.
Numer. Funct. Anal. Optim. 9 (1987), no. 1-2,
105-129.
Martínez-Legaz, J. E.
Some new results on exact quasiconvex duality.
IX symposium on operations research. Part I. Sections 1-4 (Osnabrück,
1984), 47-62, Methods Oper. Res., 49, Athenäum/Hain/Hanstein, Königstein, 1985.
MathSciNet
Martínez-Legaz, J. E.
Lexicographical order,
inequality systems and optimization.
System modelling and optimization (Copenhagen, 1983), 203-212, Lecture
Notes in Control and Inform. Sci., 59, Springer, Berlin, 1984.
Martínez-Legaz, J. E.
A new approach to symmetric quasiconvex conjugacy.
Selected topics in operations research and mathematical economics
(Karlsruhe, 1983), 42-48, Lecture Notes in Econom.
and Math. Systems, 226, Springer, Berlin, 1984.
MathSciNet
zbMATH
Martinez-Legaz, J. E.
A generalized concept of conjugation.
Optimization: theory and algorithms (Confolant,
1981), 45-59, Lecture Notes in Pure and Appl. Math., 86, Dekker, New York,
1983.
MathSciNet
Martinez-Legaz, J. E.
Exact quasiconvex conjugation.
Z. Oper. Res. Ser. A-B 27 (1983), no. 7,
A257–A266.
Martinez-Legaz,
J. E.
Conjugation associated with a graph. (Spanish)
Proceedings of the ninth Spanish-Portuguese conference on mathematics,
2 (Salamanca, 1982), 837–839, Acta Salmanticensia.
Ciencias, 46, Univ. Salamanca, Salamanca, 1982.