Inertial algorithm for solving split inclusion problem in Banach spaces

被引：0
|
作者：
Kumar, Ajay [1 ]
Tamrakar, Ekta [1 ]
机构：
[1] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, CG, India
来源：
CUBO-A MATHEMATICAL JOURNAL | 2023年 / 25卷 / 01期
关键词：
and Phrases; Strong convergence; split feasibility problem; uniformly convex; uniformly smooth; fixed point problem; RELATIVELY NONEXPANSIVE-MAPPINGS; NULL POINT PROBLEM; VARIATIONAL INCLUSION; ITERATIVE METHOD; FIXED-POINTS; FEASIBILITY PROBLEMS; CONVERGENCE ANALYSIS; PRIOR KNOWLEDGE; APPROXIMATION; INEQUALITIES;
D O I：
10.56754/0719-0646.2501.067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to propose an algorithm for find-ing a common element of the set of fixed points of relatively nonexpansive mapping and the set of solutions of split in-clusion problem with a way of selecting the stepsize without prior knowledge of the operator norm in the framework of Banach spaces. Then, the main result is used to the common fixed point problems of a family of relatively nonexpansive mappings and split equilibrium problem. Finally, a numeri-cal example is provided to illustrate the main result.
引用
收藏
页码：67 / 88
页数：22
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