Journal of Applied Mathematics

Strong Convergence Theorems for a Countable Family of Total Quasi- ϕ -Asymptotically Nonexpansive Nonself Mappings

Liang-cai Zhao and Shih-sen Chang

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Abstract

The purpose of this paper is to introduce a class of total quasi-ϕ-asymptotically nonexpansive-nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper extend and improve the corresponding results announced by some authors recently.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 136134, 12 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495269

Digital Object Identifier
doi:10.1155/2012/136134

Mathematical Reviews number (MathSciNet)
MR2965702

Zentralblatt MATH identifier
1325.47140

Citation

Zhao, Liang-cai; Chang, Shih-sen. Strong Convergence Theorems for a Countable Family of Total Quasi- $\mathbf{\varphi }$ -Asymptotically Nonexpansive Nonself Mappings. J. Appl. Math. 2012 (2012), Article ID 136134, 12 pages. doi:10.1155/2012/136134. https://projecteuclid.org/euclid.jam/1355495269


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