Contractibility of Fixed Point Sets of Mean-Type Mappings

S. Iampiboonvatana and P. Chaoha

Abstract and Applied Analysis, 2017, vol. 2017, 1-7

Abstract:

We establish a convergence theorem and explore fixed point sets of certain continuous quasi-nonexpansive mean-type mappings in general normed linear spaces. We not only extend previous works by Matkowski to general normed linear spaces, but also obtain a new result on the structure of fixed point sets of quasi-nonexpansive mappings in a nonstrictly convex setting.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:3689069

DOI: 10.1155/2017/3689069

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