Some Convergence Theorems of Three-Step Iteration for $G$-Nonexpansive Mappings on Banach Spaces with Graph

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Some Convergence Theorems of Three-Step Iteration for $G$-Nonexpansive Mappings on Banach Spaces with Graph

Authors

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Keywords:

common fixed point, G-nonexpansive mappings, modified Noor iteration, Banach space, directed graph

Abstract

In this paper, the authors prove weak and strong convergence of a sequence $\{x_n\}$ generated by a three-step iteration, to some common ﬁxed points of three $G$-nonexpansive mappings deﬁned on a Banach space endowed with a graph.

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Published

2018-04-01

How to Cite

Team, S. (2018). Some Convergence Theorems of Three-Step Iteration for $G$-Nonexpansive Mappings on Banach Spaces with Graph. Thai Journal of Mathematics, 16(1), 219–228. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/789