Convergence Theorems for $G$-Nonexpansive Mappings in CAT(0) Spaces Endowed with Graphs: Watcharapong Anakkamatee, Buris Tongnoi

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

Watcharapong Anakkamatee, Buris Tongnoi

Authors

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Keywords:

CAT(0) space, directed graph, nonexpansive mapping, Browder’s convergence theorem, Halpern iteration process

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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Published

2019-12-01

How to Cite

Team, S. (2019). Convergence Theorems for $G$-Nonexpansive Mappings in CAT(0) Spaces Endowed with Graphs: Watcharapong Anakkamatee, Buris Tongnoi. Thai Journal of Mathematics, 17(3), 775–787. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/925