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CQ method for generalized mixed equilibrium problem and fixed point problem of infinite family of quasi-ϕ-asymptotically nonexpansive mappings in Banach spaces

CQ method for generalized mixed equilibrium problem and fixed point problem of infinite family of... In this paper, we prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problems, the set of fixed points of infinite family of quasi-ϕ-asymptotically non-expansive mappings in a Banach space by using the CQ method. Our results improve the main results of Takahashi and Takahashi and Takahashi and Zembayashi. Moreover, the method of proof adopted in the paper is different from that of them. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

CQ method for generalized mixed equilibrium problem and fixed point problem of infinite family of quasi-ϕ-asymptotically nonexpansive mappings in Banach spaces

Acta Mathematicae Applicatae Sinica , Volume 30 (4) – Sep 28, 2011

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-011-0116-4
Publisher site
See Article on Publisher Site

Abstract

In this paper, we prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problems, the set of fixed points of infinite family of quasi-ϕ-asymptotically non-expansive mappings in a Banach space by using the CQ method. Our results improve the main results of Takahashi and Takahashi and Takahashi and Zembayashi. Moreover, the method of proof adopted in the paper is different from that of them.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Sep 28, 2011

References