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Research Article | Open Access

On fixed point results for some generalized nonexpansive mappings

Buthinah A. Bin Dehaish( ), Rawan K. Alharbi
Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 21589, Saudi Arabia
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Abstract

We investigate an Ishikawa iteration process in the set up of generalized α- nonexpansive mappings. Approximation of these two mappings to a common fixed point by Δ −convergence and strong convergence of the scheme in hyperbolic space are also illustrated. The presented results amplify and polish many recent ideas put forward in uniformly convex Banach spaces, including CAT(0) spaces.

Keywords

common fixed pointgeneralized α- nonexpansive mappingshyperbolic space
CLC number: 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 5763-5778
DOI: 10.3934/math.2023290

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Cite this article:
Dehaish BAB, Alharbi RK. On fixed point results for some generalized nonexpansive mappings. AIMS Mathematics, 2023, 8(3): 5763-5778. https://doi.org/10.3934/math.2023290

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Received: 23 June 2022
Revised: 30 November 2022
Accepted: 04 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)