A new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a banach space proceedings of the conference 2012 on mathematical inequalities and nonlinear functional analysis with applications

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Publication Details

Author list: Saewan S., Kumam P.

Publisher: SpringerOpen

Publication year: 2013

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

Volume number: 2013

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84874091079&doi=10.1186%2f1029-242X-2013-23&partnerID=40&md5=c9514f807d8f1625bd2e22a107be16b9

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, a new iterative process is introduced to approximate a common element of a fixed point set, the solutions of equilibrium problems, the solution set of variational inequality problems, and the set of zeros of maximal monotone operators in a uniformly smooth and strictly convex Banach space by using a hybrid projection method. Also, we prove new strong convergence theorems for this proposed iterative precess in a Banach space. MSC: 47H05, 47H09, 47H10. ฉ 2013 Saewan and Kumam; licensee Springer.

Keywords

total quasi-φ- asymptotically nonexpansive mappings