Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces | Zendy

Junaid Ahmad | Zendy; Kifayat Ullah | Zendy; Muhammad Arshad | Zendy; Manuel De la Sen | Zendy

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Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces

Author(s) -

Junaid Ahmad,

Kifayat Ullah,

Muhammad Arshad,

Manuel De la Sen

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/1934274

Subject(s) - mathematics , banach space , fixed point , convergence (economics) , iterative and incremental development , fixed point iteration , class (philosophy) , pure mathematics , mathematical analysis , computer science , artificial intelligence , software engineering , economics , economic growth

In this paper, we establish weak and strong convergence theorems for mean nonexpansive maps in Banach spaces under the Picard–Mann hybrid iteration process. We also construct an example of mean nonexpansive mappings and show that it exceeds the class of nonexpansive mappings. To show the numerical accuracy of our main outcome, we show that Picard–Mann hybrid iteration process of this example is more effective than all of the Picard, Mann, and Ishikawa iterative processes.

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