Abstract and Applied Analysis

Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi- ϕ -Asymptotically Nonexpansive Mappings

Siwaporn Saewan and Poom Kumam

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 357120, 22 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620743

Digital Object Identifier
doi:10.1155/2010/357120

Mathematical Reviews number (MathSciNet)
MR2669086

Zentralblatt MATH identifier
1206.47084

Citation

Saewan, Siwaporn; Kumam, Poom. Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi- -Asymptotically Nonexpansive Mappings. Abstr. Appl. Anal. 2010 (2010), Article ID 357120, 22 pages. doi:10.1155/2010/357120. https://projecteuclid.org/euclid.aaa/1288620743


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