2024 : 12 : 26

Sirous Moradi

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Education: PhD.
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Address: Arak University
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Research

Title
Nonconvex Equilibrium Problems Via a KKM Theorem
Type
JournalPaper
Keywords
Quasi-self-segment-dense sets · Nonconvex equilibrium problem · Noncompactness · Topological vector space
Year
2021
Journal Bulletin of the Iranian Mathematical Society
DOI
Researchers Sirous Moradi ، Masoomeh Shokouhnia ، Somaye Jafari

Abstract

In this paper, we establish existence results for vector equilibrium problems without convexity assumptions on the whole domain, but just on the closure of a quasi-selfsegment- dense subset. In the absence of demanding technical assumptions, we present newconditions to obtain results on the existence of solutions of nonconvex equilibrium problems in real topological vector spaces via a KKM theorem. Furthermore, no coercivity conditions are used to deal with the noncompact case in reflexive Banach spaces. Examples are provided to compare the obtained results with the literature in convex and nonconvex case