2024 : 7 : 16

Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
ON WELL-POSEDNESS OF GENERALIZED EQUILIBRIUM PROBLEMS INVOLVING α-
Type
JournalPaper
Keywords
Equilibrium problems
Year
2017
Journal Journal of Hyperstructures
DOI
Researchers Ayed Alhashosh ، Mohsen Alimohammady

Abstract

The aim of this paper is to establish some uniqueness and well-posedness results for a general inequality of equilibrium problems type involving α-monotone bifunction, whose solution is sought in a subset K of a Banach space X. Some metric characterizations and sufficient conditions for these types of well-posedness are obtained. Moreover, we prove that the well-posedness of generalized equilibrium problems is equivalent to the existence and uniqueness of its solution.