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Optimality Conditions For Solving Nonconvex Set-Valued Equilibrium Problems
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نویسنده
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Jafari Somaye
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منبع
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Mathematical Analysis And Convex Optimization - 2020 - دوره : 1 - شماره : 1 - صفحه:119 -128
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چکیده
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In this paper, sufficient conditions ensuring the existence of solutions for setvalued equilibrium problems are obtained. the convexity assumption on the whole domain is not necessary and just the closure of a quasi-self-segment-dense subset of the domain is convex. using a kkm theorem and a notion of q-selected preserving r^*-intersection (r^*-inclusion) for set-valued mapping, existence results are established in real hausdorff topological vector spaces.
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کلیدواژه
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Set-Valued Equilibrium Problem ,Quasi-Self-Segment-Dense Set ,Quasiconvexity ,Generalized Semicontinuity ,Topological Vector Space
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آدرس
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Arak University, Faculty Of Sciences, Department Of Mathematics, Iran
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پست الکترونیکی
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s.jafari.math@gmail.com
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Authors
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