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S. Matsushita and W. Takahashi, “Weak and Strong Convergence Theorems for Relatively Nonexpansive Mappings in a Banach Space,” Fixed Point Theory and Applications, Vol. 2004, 2004, pp. 37-47. doi:10.1155/S1687182004310089

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).