B. Halpren, “Fixed Points of Nonexpansive Maps,” Bulletin of the American Mathematical Society, Vol. 73, 1967, pp. 957-961. doi:10.1090/S0002-9904-1967-11864-0
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).