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Well-posedness Techniques in the Qualitative Analysis for a class of Equilibrium problems


Ayed E. Hashoosh, Mohsen Ali mohammady & Amneh Almusawi

Department of mathematics, University of Thi- Qar, Iraq.
Department of Mathematics, University of Mazandaran, Babolsar, Iran.

DOI: https://doi.org/10.17656/jzs.10598

Abstract

The main goal of this paper is to establish some well-posedness results for a nonstandard equilibrium problem (for short ) and for optimization problem involving α-monotone bifunction, whose solution is sought in a subset K of a real reflexive Banach space X. Moreover, we establish some metric characterizations of well-posedness for a nonstandard equilibrium problems and for an optimization problem.


Key Words:
Equilibrium problem; Well-posed optimizat -ion problems; bifunction monotone; Metric char- acterizeations.


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