Fixed point results for set-contractions on metric spaces with a directed graph

Mujahid Abbas; Monther Rashed Alfuraidan; Abdul Rahim Khan; Talat Nazir

doi:10.1186/s13663-015-0263-z

Fixed point results for set-contractions on metric spaces with a directed graph

Mujahid Abbas
, Monther Rashed Alfuraidan^*
, Abdul Rahim Khan
, Talat Nazir

^*Corresponding author for this work

Department of Mathematics

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

24 Scopus citations

Abstract

In this paper, we establish the existence of fixed points for set-valued mappings satisfying certain graph contractions with set-valued domain endowed with a graph. These results unify, generalize, and complement various known comparable results in the literature.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0263-z
State	Published - 2015

Bibliographical note

Publisher Copyright:
© 2015, Abbas et al.; licensee Springer.

Keywords

directed graph
fixed point
graph ϕ-contraction
set-valued domain
set-valued mapping

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/s13663-015-0263-z

Cite this

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title = "Fixed point results for set-contractions on metric spaces with a directed graph",

abstract = "In this paper, we establish the existence of fixed points for set-valued mappings satisfying certain graph contractions with set-valued domain endowed with a graph. These results unify, generalize, and complement various known comparable results in the literature.",

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AU - Abbas, Mujahid

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AU - Khan, Abdul Rahim

AU - Nazir, Talat

PY - 2015

Y1 - 2015

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AB - In this paper, we establish the existence of fixed points for set-valued mappings satisfying certain graph contractions with set-valued domain endowed with a graph. These results unify, generalize, and complement various known comparable results in the literature.

KW - directed graph

KW - fixed point

KW - graph ϕ-contraction

KW - set-valued domain

KW - set-valued mapping

UR - https://www.scopus.com/pages/publications/84922329141

U2 - 10.1186/s13663-015-0263-z

DO - 10.1186/s13663-015-0263-z

M3 - Article

AN - SCOPUS:84922329141

SN - 1687-1820

VL - 2015

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JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

ER -

Fixed point results for set-contractions on metric spaces with a directed graph

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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