The Convergence Theorem for a Square $\alpha$-Nonexpansive Mapping in a Hyperbolic Space: Thanatporn Bantaojai, Cholatis Suanoom, Wongvisarut Khuangsatung

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The Convergence Theorem for a Square $\alpha$-Nonexpansive Mapping in a Hyperbolic Space

Thanatporn Bantaojai, Cholatis Suanoom, Wongvisarut Khuangsatung

Authors

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Keywords:

fixed point set, square α-nonexpansive mapping, generalized Picard normal S5-iterative

Abstract

In this paper, we prove $\Delta$-convergence theorems of the generalized Picard normal $S_5$-iterative process to approximate a fixed point for square $\alpha$-nonexpansive mappings. Moreover, we obtain some properties of such mappings on a nonempty subset of a hyperbolic space.

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Published

2020-09-01

How to Cite

Team, S. (2020). The Convergence Theorem for a Square $\alpha$-Nonexpansive Mapping in a Hyperbolic Space: Thanatporn Bantaojai, Cholatis Suanoom, Wongvisarut Khuangsatung. Thai Journal of Mathematics, 18(3), 1597–1609. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1090