On asymptotic pointwise contractions in metric spaces

N. Hussain; M. A. Khamsi

doi:10.1016/j.na.2009.02.126

On asymptotic pointwise contractions in metric spaces

N. Hussain, M. A. Khamsi

Mathematics

King Abdulaziz University

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

99 Scopus citations

Abstract

We discuss the existence of fixed points of asymptotic pointwise mappings in metric spaces. This is the nonlinear version of some known results proved in Banach spaces. We also discuss the case of multivalued mappings.

Original language	British English
Pages (from-to)	4423-4429
Number of pages	7
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	10
DOIs	https://doi.org/10.1016/j.na.2009.02.126
State	Published - 15 Nov 2009

Keywords

Asymptotic pointwise contraction mapping
Asymptotic pointwise nonexpansive mapping
CAT(0) spaces
Fixed point
Hyperconvex metric spaces
Multivalued mappings
Uniformly convex metric spaces

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10.1016/j.na.2009.02.126

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title = "On asymptotic pointwise contractions in metric spaces",

abstract = "We discuss the existence of fixed points of asymptotic pointwise mappings in metric spaces. This is the nonlinear version of some known results proved in Banach spaces. We also discuss the case of multivalued mappings.",

keywords = "Asymptotic pointwise contraction mapping, Asymptotic pointwise nonexpansive mapping, CAT(0) spaces, Fixed point, Hyperconvex metric spaces, Multivalued mappings, Uniformly convex metric spaces",

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AU - Khamsi, M. A.

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AB - We discuss the existence of fixed points of asymptotic pointwise mappings in metric spaces. This is the nonlinear version of some known results proved in Banach spaces. We also discuss the case of multivalued mappings.

KW - Asymptotic pointwise contraction mapping

KW - Asymptotic pointwise nonexpansive mapping

KW - CAT(0) spaces

KW - Fixed point

KW - Hyperconvex metric spaces

KW - Multivalued mappings

KW - Uniformly convex metric spaces

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M3 - Article

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 10

ER -

On asymptotic pointwise contractions in metric spaces

Abstract

Keywords

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