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A new algorithm for solving mixed equilibrium problem and finding common fixed points of Bregman strongly nonexpansive mappings

Vahid Darvish|Nader Biranvand
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2018.12|한국수학논문집 (Korean Journal of Mathematics)|제26권 제4호|pp. 777-798

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참고문헌

키워드

fixed pointBanach spaceBregman projectionBregman distanceBregman strongly nonexpansive mappingmixed equilibrium problem.
주제분류수학

초록

In this paper, we study a new iterative method for solving mixed equilibrium problem and a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the framework of reflexive real Banach spaces. Moreover, we prove a strong convergence theorem for finding common fixed points which also are solutions of a mixed equilibrium problem.

Abstract

In this paper, we study a new iterative method for solving mixed equilibrium problem and a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the framework of reflexive real Banach spaces. Moreover, we prove a strong convergence theorem for finding common fixed points which also are solutions of a mixed equilibrium problem.

참고문헌 (32)

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