On the Existence Theorems of Equilibrium and Quasi-Equilibrium Problems in Different Spaces

On the Existence Theorems of Equilibrium and Quasi-Equilibrium Problems in Different Spaces

In this article, the solvability of the equilibrium problem (EP), Minty equilibrium problem (MEP), and quasi-equilibrium problem (QEP) by using the notions of cyclically monotone and cyclically antimonotone in the setting of topological vector spaces and metric spaces is investigated. Also, the conc...

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Bibliographic Details
Main Authors: Ali Farajzadeh, Mahmood Ghobadi, Jen-Chih Yao
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Mathematics
Subjects:
equilibrium problem
quasi-equilibrium problem
transfer lower continuous
transfer weakly lower continuous
sequentially weakly lower semicontinuous
reflexive Banach space
Online Access:https://www.mdpi.com/2227-7390/13/4/564
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