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2017 Contractibility of Fixed Point Sets of Mean-Type Mappings
S. Iampiboonvatana, P. Chaoha
Abstr. Appl. Anal. 2017: 1-7 (2017). DOI: 10.1155/2017/3689069

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.

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S. Iampiboonvatana. P. Chaoha. "Contractibility of Fixed Point Sets of Mean-Type Mappings." Abstr. Appl. Anal. 2017 1 - 7, 2017. https://doi.org/10.1155/2017/3689069

Information

Received: 23 July 2017; Accepted: 2 November 2017; Published: 2017
First available in Project Euclid: 9 January 2018

MathSciNet: MR3745585
zbMATH: 06929552
Digital Object Identifier: 10.1155/2017/3689069

Rights: Copyright © 2017 Hindawi

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