Modified block iterative procedure for solving the common solution of fixed point problems for two countable families of total quasi-φ-asymptotically nonexpansive mappings with applications

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Phuangphoo P., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2012

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84902493817&doi=10.1186%2f1687-1812-2012-198&partnerID=40&md5=dbd6955e49951d2f4fc1f4342eee525d

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce a new iterative procedure which is constructed by the modified block hybrid projection method for solving a common solution of fixed point problems for two countable families of uniformly total quasi-φ-asymptotically nonexpansive and uniformly Lipschitz continuous mappings. Under suitable conditions, some strong convergence theorems are established in a uniformly smooth and strictly convex Banach space with the Kadec-Klee property. Finally, we apply the problem of a strong convergence theorem concerning maximal monotone operators in Banach spaces. © 2012 Phuangphoo and Kumam; licensee Springer.

Keywords

Total quasi-φ-asymptotically nonexpansive mapping