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S. Matsushita and W. Takahashi, “An Iterative Algorithm for Relatively Nonexpansive Mappings by Hybrid Method and Applications,” Proceedings of the 3rd International Conference on Nonlinear Analysis and Convex Analysis, Tokyo, 2004, pp. 305-313.

has been cited by the following article:

• TITLE: Fixed Point of a Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications

  AUTHORS: Yi Li

  KEYWORDS: Multi-Valued Mapping; Totally Quasi- Ø -Asymptotically Nonexpansive; Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued Mappings; Firmly Convergence

  JOURNAL NAME: Applied Mathematics, Vol.4 No.9A, August 30, 2013

  ABSTRACT: The purpose of this article is to discuss a modified Halpern-type iteration algorithm for a countable family of uniformly totally quasi- ? -asymptotically nonexpansive multi-valued mappings and establish some strong convergence theorems under certain conditions. We utilize the theorems to study a modified Halpern-type iterative algorithm for a system of equilibrium problems. The results improve and extend the corresponding results of Chang et al. (Applied Mathematics and Computation, 218, 6489-6497).