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K. Nakajo and W. Takahashi, “Strong Convergence Theorems for Nonexpansive Mappings and Nonexpansive Semigroups,” Journal of Mathematical Analysis and Applications, Vol. 279, No. 2, 2003, pp. 372-379. doi:10.1016/S0022-247X(02)00458-4

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).