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

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 Reic...

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Bibliographic Details
Main Authors: Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad, Manuel de la Sen, Muhammad Naveed Khan
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/8837317
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Summary: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.
ISSN:1687-9120
1687-9139