An equilibrium version of set-valued Ekeland variational principle and its applications to set-valued vector equilibrium problems
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-016-6184-x
Abstract: By using Gerstewitz functions, we establish a new equilibrium version of Ekeland variational principle, which improves the related results by weakening both the lower boundedness and the lower semi-continuity of the objective bimaps. Applying the… read more here.
Keywords: version; equilibrium; set valued; vector equilibrium ... See more keywords
Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems
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DOI: 10.1007/s10898-019-00772-3
Abstract: In this paper, we provide variants of the Ekeland variational principle for a type of approximate proper solutions of a vector equilibrium problem, whose final space is finite dimensional and partially ordered by a polyhedral… read more here.
Keywords: ekeland variational; variational principle; variants ekeland; vector equilibrium ... See more keywords
Ekeland variational principles involving set perturbations in vector equilibrium problems
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DOI: 10.1007/s10898-020-00945-5
Abstract: On the basis of the notion of approximating family of cones and a generalized type of Gerstewitz’s/Tammer’s nonlinear scalarization functional, we establish variants of the Ekeland variational principle (for short, EVP) involving set perturbations for… read more here.
Keywords: ekeland variational; involving set; space; set perturbations ... See more keywords
A note on existence of weak efficient solutions for vector equilibrium problems
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DOI: 10.1007/s11590-018-1242-1
Abstract: This work concerns with vector equilibrium problems where the image space of the bifunction is not endowed with any topology. To be precise, a kind of “semi-algebraic” upper semicontinuity notion is introduced and, by means… read more here.
Keywords: existence weak; weak efficient; efficient solutions; note existence ... See more keywords
Nonlinear separation methods and applications for vector equilibrium problems using improvement sets
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DOI: 10.1080/00036811.2020.1712372
Abstract: ABSTRACT In this paper, the image space analysis is applied to investigate a vector equilibrium problem using improvement sets and with matrix inequality constraints. First, a nonlinear scalar regular weak separation function is constructed by… read more here.
Keywords: separation; using improvement; improvement sets; function ... See more keywords
A vector auxiliary principle technique approach to systems of mixed vector equilibrium problems
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DOI: 10.1080/02331934.2018.1553973
Abstract: ABSTRACT In this paper, we introduce and study a system of generalized mixed vector equilibrium problems involving set-valued variational-like inequalities (SGMVEP, in short) in the general setting of Banach spaces. First, we construct an associated… read more here.
Keywords: auxiliary principle; mixed vector; vector auxiliary; vector equilibrium ... See more keywords
Strong vector equilibrium problems with LSC approximate solution mappings
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DOI: 10.3934/jimo.2018165
Abstract: This paper introduces two classes of parametric strong vector equilibrium problems whose approximate solution mappings are lower semicontinuous. In the first class, the objective set-valued maps satisfy some cone-convexity/cone-concavity assumptions, and in the second one,… read more here.
Keywords: approximate solution; strong vector; cone; vector equilibrium ... See more keywords