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

Aunyarat Bunyawat and Suthep Suantai

Abstract and Applied Analysis, 2012, vol. 2012, 1-6

Abstract:

We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping { 𠑇 ð ‘– } 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 𠑇 ð ‘– . Some strong convergence theorems of the proposed method are also obtained for the following cases: all 𠑇 ð ‘– are continuous and one of 𠑇 ð ‘– is hemicompact, and the domain ð ¾ is compact.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:435790

DOI: 10.1155/2012/435790

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