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

^*Corresponding author for this work

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

15 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	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

Bibliographical note

Publisher Copyright:
© 2016 all rights reserved.

Keywords

Almost contraction
Directed graph
Fixed point
Monotone mapping
Multivalued mapping

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.22436/jnsa.009.08.04

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title = "Almost monotone contractions on weighted graphs",

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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AU - Bachar, Mostafa

AU - Khamsi, Mohamed A.

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KW - Almost contraction

KW - Directed graph

KW - Fixed point

KW - Monotone mapping

KW - Multivalued mapping

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SP - 5189

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JO - Journal of Nonlinear Science and Applications

JF - Journal of Nonlinear Science and Applications

IS - 8

ER -

Almost monotone contractions on weighted graphs

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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