Some Convergence Results for a Class of Generalized Nonexpansive Mappings in Banach Spaces

Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad, Manuel de la Sen and Muhammad Naveed Khan

Advances in Mathematical Physics, 2021, vol. 2021, 1-6

Abstract:

This paper investigates fixed points of Reich-Suzuki-type nonexpansive mappings in the context of uniformly convex Banach spaces through an iterative method. Under some appropriate situations, some strong and weak convergence theorems are established. To support our results, a new example of Reich-Suzuki-type nonexpansive mappings is presented which exceeds the class of Suzuki-type nonexpansive mappings. The presented results extend some recently announced results of current literature.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:8837317

DOI: 10.1155/2021/8837317

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