Convergence Theorems of the Modified SP-Iteration for $G$-Asymptotically Nonexpansive Mappings with Directed Grahps

Rattanakorn Wattanataweekul

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  • Support Team

Keywords:

G-asymptotically nonexpansive mapping, directed graph, common fixed point, Banach space

Abstract

In this paper, weak and strong convergence theorems of the modified SP-iteration are established for three $G$-asymptotically nonexpansive mappings in Banach spaces. We give some numerical example for supporting our main theorem and compare convergence rate between the modified SP-iteration and the modified Noor iteration.

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Published

2019-12-01

How to Cite

Team, S. (2019). Convergence Theorems of the Modified SP-Iteration for $G$-Asymptotically Nonexpansive Mappings with Directed Grahps: Rattanakorn Wattanataweekul. Thai Journal of Mathematics, 17(3), 805–820. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/927

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