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Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces

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  • Oyetunbi, Dolapo Muhammed
  • Khan, Abdul Rahim

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.

Suggested Citation

  • Oyetunbi, Dolapo Muhammed & Khan, Abdul Rahim, 2021. "Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    • Handle: RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306524
    DOI: 10.1016/j.amc.2020.125699
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    References listed on IDEAS

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    1. Abdul Rahim Khan, 2005. "Properties of fixed point set of a multivalued map," International Journal of Stochastic Analysis, Hindawi, vol. 2005, pages 1-9, January.
    2. Lai-Jiu Lin & Wei-Shih Du, 2010. "From an abstract maximal element principle to optimization problems, stationary point theorems and common fixed point theorems," Journal of Global Optimization, Springer, vol. 46(2), pages 261-271, February.
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