Strong convergence algorithm for the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem

Armenian Journal of Mathematics

article

Shamshad Husain¹  Mohd Asad¹  Mubashshir Khairoowala¹ 

[1] Aligarh Muslim University

关键词: Non-expansive mapping;    split feasibility problem;    averaged mapping;    split variational inclusion problem;    split generalized equilibrium problem;    fixed point problem;   

DOI  :  10.52737/18291163-2021.13.7-1-32

学科分类：环境科学（综合）

来源: National Academy of Sciences of the Republic of Armenia

【 摘 要 】

The purpose of this paper is to recommend an iterative scheme to approximate a common element of the solution sets of the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem for nonexpansive mappings. We prove that the sequences generated by the recommended iterative scheme strongly converge to a common element of solution sets of stated split problems. In the end, we provide a numerical example to support and justify our main result. The result studied in this paper generalizes and extends some widely recognized results in this direction.

【 授权许可】

CC BY