Article citationsMore>>

S. Matsushita and W. Takahashi, “A Strong Convergence Theorem for Relatively Nonexpansive Mappings in a Banach Space,” The Journal of Approximation Theory, Vol. 134, No. 2, 2005, pp. 257-266. doi:10.1016/j.jat.2005.02.007

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).