Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces

Journal of inequalities and applications

Ravi P Agarwal¹ 

关键词: equilibrium problem;    weak Bregman relatively nonexpansive mapping;    Bregman distance;    Bregman projection;    fixed point;    shrinking projection algorithm;    totally convex function;    Legendre function;   

DOI  :  10.1186/1029-242X-2013-119

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spaces, and then the strong convergence of the sequence generated by the proposed algorithm is derived under some suitable assumptions. These results are new and develop some recent results in this field. MSC:26B25, 47H09, 47J05, 47J25.

【 授权许可】

CC BY