A modified Halpern-type iterative method of a system of equilibrium problems and a fixed point for a totally quasi-φ-asymptotically nonexpansive mapping in a banach space

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

No matching items found.

Publication Details

Author list: Kanjanasamranwong P., Kumam P., Saewan S.

Publisher: Hindawi

Publication year: 2012

Journal: Journal of Applied Mathematics (1110-757X)

Volume number: 2012

ISSN: 1110-757X

eISSN: 1687-0042

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84864947402&doi=10.1155%2f2012%2f750732&partnerID=40&md5=6dabd108a094414cc013df628b5c1e14

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

The purpose of this paper is to introduce the modified Halpern-type iterative method by the generalized f-projection operator for finding a common solution of fixed-point problem of a totally quasi-φ-asymptotically nonexpansive mapping and a system of equilibrium problems in a uniform smooth and strictly convex Banach space with the Kadec-Klee property. Consequently, we prove the strong convergence for a common solution of above two sets. Our result presented in this paper generalize and improve the result of Chang et al., (2012), and some others. Copyright © 2012 Preedaporn Kanjanasamranwong et al.

Keywords