Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings
Joint Authors
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-26
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We introduce a modified block hybrid projection algorithm for solving the convex feasibility problems for an infinite family of closed and uniformly quasi-ϕ-asymptotically nonexpansive mappings and the set of solutions of the generalized equilibrium problems.
We obtain a strong convergence theorem for the sequences generated by this process in a uniformly smooth and strictly convex Banach space with Kadec-Klee property.
The results presented in this paper improve and extend some recent results.
American Psychological Association (APA)
Saewan, Siwaporn& Kumam, Poom. 2010. Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-465493
Modern Language Association (MLA)
Saewan, Siwaporn& Kumam, Poom. Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings. Abstract and Applied Analysis No. 2010 (2010), pp.1-22.
https://search.emarefa.net/detail/BIM-465493
American Medical Association (AMA)
Saewan, Siwaporn& Kumam, Poom. Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi-ϕ-Asymptotically Nonexpansive Mappings. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-465493
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465493