Vector Optimization with Domination Structures: Variational Principles and Applications

Truong Q. Bao, Boris S. Mordukhovich, Antoine Soubeyran and Christiane Tammer
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Truong Q. Bao: Northern Michigan University
Boris S. Mordukhovich: Wayne State University [Detroit]
Christiane Tammer: MLU - Martin-Luther-Universität Halle Wittenberg - Martin-Luther-University Halle Wittenberg

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Abstract: 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 some models in behavioral sciences, we establish new variational principles that can be viewed as far-going extensions of the Ekeland variational principle to cover domination vector settings. Our approach combines advantages of both primal and dual techniques in variational analysis with providing useful sufficient conditions for the existence of variational traps in behavioral science models with variable domination structures.

Keywords: Set-valued and variational analysis; Vector optimization; Domination structures; Variable ordering cones; Variational rationality (search for similar items in EconPapers)
Date: 2023-07-18
Note: View the original document on HAL open archive server: https://amu.hal.science/hal-03528619v1
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Persistent link: https://EconPapers.repec.org/RePEc:hal:wpaper:hal-03528619

DOI: 10.1007/s11228-021-00615-y

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