ON ASYMPTOTICALLY NONEXPANSIVE MAPPINGS WITH NON-CONVEX DOMAINS

Monther Rashed Alfuraidan; Mohamed Amine Khamsi; Khairul Saleh

doi:10.24193/fpt-ro.2022.1.05

ON ASYMPTOTICALLY NONEXPANSIVE MAPPINGS WITH NON-CONVEX DOMAINS

Monther Rashed Alfuraidan, Mohamed Amine Khamsi, Khairul Saleh

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove the existence of periodic points of asymptotically nonexpansive mappings defined on non-convex domains in uniformly convex Banach spaces. We also introduce the notion of firmly asymptotically nonexpansive mappings and prove the existence of fixed points of such mappings with non-convex domains.

Original language	English
Pages (from-to)	75-84
Number of pages	10
Journal	Fixed Point Theory
Volume	23
Issue number	1
DOIs	https://doi.org/10.24193/fpt-ro.2022.1.05
State	Published - 1 Feb 2022

Bibliographical note

Publisher Copyright:
© 2022, House of the Book of Science. All rights reserved.

Keywords

And Phrases: Asymptotically nonexpansive mapping
Fixed point
Periodic point

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.24193/fpt-ro.2022.1.05

Cite this

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KW - Periodic point

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ON ASYMPTOTICALLY NONEXPANSIVE MAPPINGS WITH NON-CONVEX DOMAINS

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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