Vector Optimization with Domination Structures: Variational Principles and Applications

Autor: Bao, Truong Q., Mordukhovich, Boris S., Soubeyran, Antoine, Tammer, Christiane

This paper addresses a large class of vector optimization problems in infinite-dimensional spaces with respect to two important binary relations derived from domination structures. Motivated by theoretical challenges as well as by applications to som

Externí odkaz: http://arxiv.org/abs/2102.08195

SUBOPTIMALITY CONDITIONS FOR MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS

Autor: Bao, Truong Q., Gupta, Pankaj, Mordukhovich, Boris S.

Publikováno v: Taiwanese Journal of Mathematics, 2008 Dec 01. 12(9), 2569-2592.

Externí odkaz: https://www.jstor.org/stable/43834651

Relative Pareto minimizers for multiobjective problems: existence and optimality conditions.

Autor: Bao, Truong Q.¹ tqbao@math.wayne.edu, Mordukhovich, Boris S. boris@math.wayne.edu

Publikováno v: Mathematical Programming. Apr2010, Vol. 122 Issue 2, p301-347. 47p.

Minimal points, variational principles, and variable preferences in set optimization

Autor: Bao, Truong Q., Mordukhovich, Boris S., Soubeyran, Antoine

Publikováno v: Journal of Nonlinear and Convex Analysis
Journal of Nonlinear and Convex Analysis, 2015, 16 (8), pp.1511--1537
Journal of Nonlinear and Convex Analysis, Yokohama, 2015, 16 (8), pp.1511--1537

AD; International audience; The paper is devoted to variational analysis of set-valued mappings acting from quasimetric spaces into topological spaces with variable ordering structures. Besides the mathematical novelty, our...

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::a2fe3bc560502d5df2a80e7f428b199c
https://hal-amu.archives-ouvertes.fr/hal-01457319

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