On generalized extragradient implicit method for systems of variational inequalities with constraints of variational inclusion and fixed point problems-Reference-Cited by-同舟云学术

On generalized extragradient implicit method for systems of variational inequalities with constraints of variational inclusion and fixed point problems

Published:2022-01-01 Issue:1 Volume:20 Page:1770-1784
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Ceng Lu-Chuan¹,Zhu Li-Jun²,Yin Tzu-Chien³

Affiliation:

1. Department of Mathematics, Shanghai Normal University , Shanghai 200234 , China

2. The Key Laboratory of Intelligent Information and Big Data Processing of NingXia, North Minzu University , Yinchuan 750021 , China

3. Research Center for Interneural Computing, China Medical University Hospital, China Medical University , Taichung 40402 , Taiwan

Abstract

Abstract In a real Banach space, let the VI indicate a variational inclusion for two accretive operators and let the CFPP denote a common fixed point problem of countably many nonexpansive mappings. In this article, we introduce a generalized extragradient implicit method for solving a general system of variational inequalities (GSVI) with the VI and CFPP constraints. Strong convergence of the suggested method to a solution of the GSVI with the VI and CFPP constraints under some suitable assumptions is established.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0536/pdf

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