AM  Vol.4 No.9 A , September 2013
Fixed Point of a Countable Family of Uniformly Totally Quasi- &Oslash -Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications
Author(s) Yi Li
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).


Cite this paper
Y. Li, "Fixed Point of a Countable Family of Uniformly Totally Quasi- &Oslash -Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications," Applied Mathematics, Vol. 4 No. 9, 2013, pp. 6-12. doi: 10.4236/am.2013.49A002.
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