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

Thabet Abdeljawad | Zendy; Kifayat Ullah | Zendy; Junaid Ahmad | Zendy; Manuel De la Sen | Zendy; Muhammad Naveed Khan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Thabet Abdeljawad,

Kifayat Ullah,

Junaid Ahmad,

Manuel De la Sen,

Muhammad Naveed Khan

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/8837317

Subject(s) - banach space , mathematics , regular polygon , convergence (economics) , type (biology) , context (archaeology) , class (philosophy) , fixed point , pure mathematics , discrete mathematics , mathematical analysis , computer science , geometry , ecology , paleontology , artificial intelligence , economics , biology , economic growth

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research