Iterative approximation of a solution of system of generalized nonlinear variational-like inclusions and a fixed point of total asymptotically nonexpansive mappings-Reference-Cited by-同舟云学术

Iterative approximation of a solution of system of generalized nonlinear variational-like inclusions and a fixed point of total asymptotically nonexpansive mappings

Published:2023 Issue:21 Volume:37 Page:7149-7180
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Balooee Javad¹,Postolache Mihai²,Yao Yonghong³

Affiliation:

1. School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran

2. The Key Laboratory of Intelligent Information and Big Data Processing of NingXia Province, and Health Big Data Research Institute, North Minzu University, Yinchuan, China + University ”Politehnica” of Bucharest, Department of Mathematics and Informatics, Bucharest, Romania

3. School of Mathematical Sciences, Tiangong University, Tianjin, China + Center for Advanced Information Technology, Kyung Hee University, Seoul, South Korea

Abstract

This paper investigates the problem of finding a point lying in the intersection of the set of solutions of a system of generalized nonlinear variational-like inclusions and the set of fixed points of a total asymptotically nonexpansive mapping. To achieve this aim, a new iterative algorithm is suggested. Finally, the strong convergence and stability of the sequence generated by our proposed iterative algorithm to a common point of the above two sets are proved. The results presented in this paper are new, and improve and generalize many known corresponding results.

Publisher

National Library of Serbia

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