On monotone pointwise contractions in Banach and metric spaces

Afrah A.N. Abdou; Mohamed A. Khamsi

doi:10.1186/s13663-015-0381-7

On monotone pointwise contractions in Banach and metric spaces

Afrah A.N. Abdou^*, Mohamed A. Khamsi

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

2 Scopus citations

Abstract

In this work we define the new concept of monotone pointwise contraction mappings in Banach and metric spaces. Then we prove the existence of fixed points of such mappings.

Original language	English
Article number	135
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0381-7
State	Published - 5 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Abdou and Khamsi.

Keywords

CAT(0) spaces
fixed point
hyperbolic metric spaces
monotone mapping
pointwise contraction

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/s13663-015-0381-7

Cite this

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KW - fixed point

KW - hyperbolic metric spaces

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KW - pointwise contraction

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On monotone pointwise contractions in Banach and metric spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this