Optimality Conditions for Solving Nonconvex Set-Valued Equilibrium Problems
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MACO-1-1_012
تاریخ نمایه سازی: 2 بهمن 1399
Abstract:
In this paper, sufficient conditions ensuring the existence of solutions for set-valued 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, the existence results are proved in real Hausdorff topological vector spaces.
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Authors
Somaye Jafari
Department of Mathematics, Faculty of Sciences, Arak University, Arak ۳۸۱۵۶-۸-۸۳۴۹, Iran.