A Modified Halpern-TypeIterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi-ϕ-Asymptotically Nonexpansive Mapping in a Banach Space
Joint Authors
Saewan, Siwaporn
Kanjanasamranwong, Preedaporn
Kumam, Poom
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-08
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Kanjanasamranwong, Preedaporn& Kumam, Poom& Saewan, Siwaporn. 2012. A Modified Halpern-TypeIterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi-ϕ-Asymptotically Nonexpansive Mapping in a Banach Space. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993654
Modern Language Association (MLA)
Kanjanasamranwong, Preedaporn…[et al.]. A Modified Halpern-TypeIterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi-ϕ-Asymptotically Nonexpansive Mapping in a Banach Space. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993654
American Medical Association (AMA)
Kanjanasamranwong, Preedaporn& Kumam, Poom& Saewan, Siwaporn. A Modified Halpern-TypeIterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi-ϕ-Asymptotically Nonexpansive Mapping in a Banach Space. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993654
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993654
