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

Mathematics

King Fahd University for Petroleum and Minerals (KFUPM)

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	British 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

Keywords

And Phrases: Asymptotically nonexpansive mapping
Fixed point
Periodic point

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10.24193/fpt-ro.2022.1.05

Cite this

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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.",

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AU - Saleh, Khairul

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AB - 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.

KW - And Phrases: Asymptotically nonexpansive mapping

KW - Fixed point

KW - Periodic point

UR - https://www.scopus.com/pages/publications/85123121858

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DO - 10.24193/fpt-ro.2022.1.05

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JO - Fixed Point Theory

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ON ASYMPTOTICALLY NONEXPANSIVE MAPPINGS WITH NON-CONVEX DOMAINS

Abstract

Keywords

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