AN ITERATIVE METHOD FOR SOLVING SPLIT GENERALIZED MIXED EQUILIBRIUM AND FIXED POINT PROBLEMS IN BANACH SPACES

被引:0
作者
Ogbuisi, F. U. [1 ,2 ]
机构
[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
[2] Univ Nigeria Nsukka, Dept Math, DSTNRF Ctr Excellence Math & Stat Sci CoE MaSS, Nsukka, Nigeria
基金
新加坡国家研究基金会;
关键词
Strong convergence; split generalised mixed equilibrium problem; P-Uniformly convex; uniformly smooth; Bregman distance; Bregman strongly nonexpansive mapping; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE OPERATORS; FEASIBILITY PROBLEMS; EXTRAGRADIENT METHOD; APPROXIMATION; ALGORITHMS; PROJECTION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Our aim in this paper is to study split generalised mixed equilibrium and fixed point problems in a real Banach space with a view to analyze an iterative method for obtaining a solution of the split generalised mixed equilibrium problem and fixed point problem in a real Banach space using the Bregman distance approach. Furthermore, we introduce an iterative algorithm for approximating a common solution of split generalised mixed equilibrium problem and a fixed point problem for left Bregman strongly nonexpansive mapping and with our algorithm, we state and prove a strong convergence theorem for the approximation of a common element of the set of solutions of a split generalised mixed equilibrium problem and the set of solutions of a fixed point problem in the framework of a p-uniformly convex Banach space which is also uniformly smooth. Our result extends existing results on split equilibrium problems in the literature from the framework of real Hilbert spaces to p-uniformly convex Banach spaces which are also uniformly smooth.
引用
收藏
页码:803 / 821
页数:19
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