Almost monotone contractions on weighted graphs

Monther R. Alfuraidan; Mostafa Bachar; Mohamed A. Khamsi

doi:10.22436/jnsa.009.08.04

Almost monotone contractions on weighted graphs

Monther R. Alfuraidan, Mostafa Bachar, Mohamed A. Khamsi

Mathematics

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

14 Scopus citations

Abstract

Almost contraction mappings were introduced as an extension to the contraction mappings for which the conclusion of the Banach contraction principle (BCP in short) holds. In this paper, the concept of monotone almost contractions defined on a weighted graph is introduced. Then a fixed point theorem for such mappings is given.

Original language	British English
Pages (from-to)	5189-5195
Number of pages	7
Journal	Journal of Nonlinear Science and Applications
Volume	9
Issue number	8
DOIs	https://doi.org/10.22436/jnsa.009.08.04
State	Published - 2016

Keywords

Almost contraction
Directed graph
Fixed point
Monotone mapping
Multivalued mapping

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abstract = "Almost contraction mappings were introduced as an extension to the contraction mappings for which the conclusion of the Banach contraction principle (BCP in short) holds. In this paper, the concept of monotone almost contractions defined on a weighted graph is introduced. Then a fixed point theorem for such mappings is given.",

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author = "Alfuraidan, {Monther R.} and Mostafa Bachar and Khamsi, {Mohamed A.}",

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AU - Bachar, Mostafa

AU - Khamsi, Mohamed A.

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KW - Directed graph

KW - Fixed point

KW - Monotone mapping

KW - Multivalued mapping

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Almost monotone contractions on weighted graphs

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Keywords

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