Convergence Theorems for $G$-Nonexpansive Mappings in CAT(0) Spaces Endowed with Graphs

Watcharapong Anakkamatee, Buris Tongnoi

Abstract


In this paper, we introduce the concept of a CAT(0) space endowed with a graph. Browder's convergence theorem and Halpern iteration process for $G$-nonexpansive mappings in an underlying space will be presented. This result extends and generalizes the result of  Tiammee, Kaewkhao and Suantai (2015).

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|