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Journal of Mathematical Study
Article . 2022 . Peer-reviewed
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A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces

A fixed point theorem for a pair of generalized nonexpansive mappings in uniformly convex metric spaces
descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2022Publisher:Global Science PressJournal:Journal of Mathematical Study, volume 55, pages 432-444 (issn: 2096-9856, eissn: 2617-8702, Copyright policy )
Authors: Wang, Chao; Fan, Honglei;

doi: 10.4208/jms.v55n4.22.06

A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces

Abstract

Summary: In uniformly convex metric spaces, we study the existence and uniqueness of a common fixed point for a pair of generalized nonexpansive mappings with some weak conditions. Meanwhile, we introduce a new Krasnoselskii type iterative algorithm for approximating the common fixed point. A numerical example is also given to demonstrate the main result. Our results generalize and improve some recent corresponding results.

Keywords

pair of generalized nonexpansive mappings, Fixed-point and coincidence theorems (topological aspects), Krasnoselskii type iterative algorithm, Numerical solutions to equations with nonlinear operators, uniformly convex metric spaces, common fixed point, Special maps on metric spaces

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold