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Convergence Theorems for Infinite Family of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces

By Aunyarat Bunyawat and Suthep Suantai

Abstract

We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping {Ti} in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by our method is an approximating fixed point sequence of each Ti. Some strong convergence theorems of the proposed method are also obtained for the following cases: all Ti are continuous and one of Ti is hemicompact, and the domain K is compact

Topics: Mathematics, QA1-939
Publisher: Hindawi Limited
Year: 2012
DOI identifier: 10.1155/2012/435790
OAI identifier: oai:doaj.org/article:2c969ad3609543cda5b09e22886a5521
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