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

Joint Authors

Saewan, Siwaporn
Kumam, Poom

Source

Abstract and Applied Analysis

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

Mathematics

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