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2014 Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
Erdal Karapınar, Hero Salahifard, S. Mansour Vaezpour
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/738150

Abstract

We prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings. Moreover, we establish the existence theorem and convergence theorems for modified Ishikawa iterative process in the framework of CAT(0) spaces. Our results generalize, extend, and unify the corresponding results on the topic in the literature.

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Erdal Karapınar. Hero Salahifard. S. Mansour Vaezpour. "Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/738150

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010732
MathSciNet: MR3176828
Digital Object Identifier: 10.1155/2014/738150

Rights: Copyright © 2014 Hindawi

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