A CONVERGENCE THEOREM FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND MULTIVALUED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

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초록

In this paper, we are concerned with a projection-based method for solving generalized mixed equilibrium problems and fixed-point problems of multivalued asymptotically nonexpansive mappings. We obtain a convergence theorem of common solutions in norm without any compact conditions.

키워드

Asymptotically nonexpansive mappingHilbert spaceequilibrium problemsolutiononvergencefixed pointVARIATIONAL INEQUALITYACCRETIVE-OPERATORSFIXED-POINTFINITE FAMILYZERO-POINTSYSTEMSWEAK
제목
A CONVERGENCE THEOREM FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND MULTIVALUED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
저자
Cho, Sun Young
발행일
2020-05
유형
Article
저널명
Journal of Nonlinear and Convex Analysis
21
5
페이지
1017 ~ 1026