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).