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, issue 1

Abstract: This paper investigates fixed points of Reich‐Suzuki‐type nonexpansive mappings in the context of uniformly convex Banach spaces through an M∗ 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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https://doi.org/10.1155/2021/8837317

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:8837317

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