Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings

Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad, Manuel De La Sen, Azhar Ulhaq and Hijaz Ahmad

Journal of Mathematics, 2020, vol. 2020, 1-11

Abstract: In this article, we study the Agarwal iterative process for finding fixed points and best proximity points of relatively nonexpansive mappings. Using the Von Neumann sequence, we establish the convergence result in a Hilbert space framework. We present a new example of relatively nonexpansive mapping and prove that its Agarwal iterative process is more efficient than the Mann and Ishikawa iterative processes.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8821553

DOI: 10.1155/2020/8821553

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