Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces

Dolapo Muhammed Oyetunbi and Abdul Rahim Khan

Applied Mathematics and Computation, 2021, vol. 392, issue C

Abstract: In this paper, we introduce a new modified iteration process for approximating common endpoint of a multivalued α-nonexpansive mapping and a multivalued mapping satisfying condition (E′) in uniformly convex hyperbolic spaces. As a by-product, we improve the main results of Panyanak (2018) with a new and faster algorithm for two multivalued mappings. Moreover, we give a numerical example to substantiate our results. Our work is new and holds simultaneously in uniformly convex Banach spaces as well as CAT(0) spaces.

Keywords: α-nonexpansive; Condition (E′); Common endpoint; Strong convergence; △-convergence; Multivalued mappings; Hyperbolic space (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306524

DOI: 10.1016/j.amc.2020.125699

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