Fixed Point of a Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications - Applied Mathematics

AM > Vol.4 No.9, September 2013

Volume 4, Issue 9 (September 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

Fixed Point of a Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications ()

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DOI: 10.4236/am.2013.49A002 4,062 Downloads 6,333 Views Citations

Author(s)

Yi Li

Affiliation(s)

School of Science, Southwest University of Science and Technology, Mianyang, China.

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).

KEYWORDS

Multi-Valued Mapping; Totally Quasi- Ø -Asymptotically Nonexpansive; Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued Mappings; Firmly Convergence

Share and Cite:

Li, Y. (2013) Fixed Point of a Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications. Applied Mathematics, 4, 6-12. doi: 10.4236/am.2013.49A002.

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