Contractibility of Fixed Point Sets of Mean‐Type Mappings

S. Iampiboonvatana and P. Chaoha

Abstract and Applied Analysis, 2017, vol. 2017, issue 1

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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https://doi.org/10.1155/2017/3689069

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2017:y:2017:i:1:n:3689069

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