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.
Citation
Liang-cai Zhao. Shih-sen Chang. "Strong Convergence Theorems for a Countable Family of Total Quasi--Asymptotically Nonexpansive Nonself Mappings." J. Appl. Math. 2012 1 - 12, 2012. https://doi.org/10.1155/2012/136134
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