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Sirous Moradi

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Arak University
Address: Arak University
Phone:

Research

Title
Existence results for -quasimonotone equilibrium problems in convex metric spaces
Type
JournalPaper
Keywords
Convex metric space; equilibrium problem; ϕ-quasimonotone; strong ϕ-sign property
Year
2017
Journal OPTIMIZATION
DOI
Researchers Somaye Jafari ، Ali Farajzadeh ، Sirous Moradi

Abstract

This paper deals with equilibrium problems in the setting of metric spaces with a continuous convex structure. We extend Fan’s 1984 KKM theorem to convex metric spaces in order to employ some weak coercivity conditions to establish existence results for suitable local Minty equilibrium problems, where the involved bifunctions are ϕ-quasimonotone. By an approach which is based on the concept of the strong ϕ-sign property for bifunctions, weobtain existence results for equilibrium problemswhich generalize some results in the literature.