Strong Convergence Theorems for a Countable Family of Total Quasi‐ϕ‐Asymptotically Nonexpansive Nonself Mappings
Zhao Liang-cai, Shih-sen Chang · Journal of Applied Mathematics · 2012
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.