Existence and convergence theorems for the new system of generalized mixed variational inequalities in Banach spaces

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Publication Details

Author list: Onjai-Uea N., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2012

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84861015006&doi=10.1186%2f1029-242X-2012-9&partnerID=40&md5=4057ca5e95abd990ca604c00a6971607

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, we introduce and consider the three-step iterative algorithms for solving a new system of generalized mixed variational inequalities involving different three multi-valued operators. In this study, we use a generalized f-projection method for finding the solutions of generalized system of mixed variational inequalities in Banach spaces. Our result in this article improves and generalizes some known corresponding results in the literature. ฉ 2012 Onjai-uea and Kumam.

Keywords

A new generalized system mixed variational inequality problem, Fixed point problem, Generalized f-projection, Relaxed cocoercive mappings