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

Thanatporn Bantaojai, Cholatis Suanoom, Wongvisarut Khuangsatung

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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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|