On monotone Ćirić quasi-contraction mappings with a graph

Monther Rashed Alfuraidan

doi:10.1186/s13663-015-0341-2

On monotone Ćirić quasi-contraction mappings with a graph

Monther Rashed Alfuraidan^*

^*Corresponding author for this work

Department of Mathematics

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

12 Scopus citations

Abstract

In this paper, we obtain sufficient conditions for the existence of fixed points for monotone quasi-contraction mappings in metric and modular metric spaces endowed with a graph. This is the extension of Ran and Reurings and Jachymski fixed point theorems for monotone contraction mappings in partially ordered metric spaces and in metric spaces endowed with a graph to the case of quasi-contraction mappings introduced by Ćirić.

Original language	English
Article number	93
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0341-2
State	Published - 24 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Alfuraidan.

Keywords

directed graph
fixed point
modular metric space
monotone mappings
quasi-contraction

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

Access to Document

10.1186/s13663-015-0341-2

Cite this

@article{447b9ef9b78d404d958c997d835385e8,

title = "On monotone {\'C}iri{\'c} quasi-contraction mappings with a graph",

abstract = "In this paper, we obtain sufficient conditions for the existence of fixed points for monotone quasi-contraction mappings in metric and modular metric spaces endowed with a graph. This is the extension of Ran and Reurings and Jachymski fixed point theorems for monotone contraction mappings in partially ordered metric spaces and in metric spaces endowed with a graph to the case of quasi-contraction mappings introduced by {\'C}iri{\'c}.",

keywords = "directed graph, fixed point, modular metric space, monotone mappings, quasi-contraction",

author = "Alfuraidan, \{Monther Rashed\}",

note = "Publisher Copyright: {\textcopyright} 2015, Alfuraidan.",

year = "2015",

month = dec,

day = "24",

doi = "10.1186/s13663-015-0341-2",

language = "English",

volume = "2015",

journal = "Fixed Point Theory and Algorithms for Sciences and Engineering",

issn = "1687-1820",

publisher = "SpringerOpen",

number = "1",

}

TY - JOUR

T1 - On monotone Ćirić quasi-contraction mappings with a graph

AU - Alfuraidan, Monther Rashed

PY - 2015/12/24

Y1 - 2015/12/24

N2 - In this paper, we obtain sufficient conditions for the existence of fixed points for monotone quasi-contraction mappings in metric and modular metric spaces endowed with a graph. This is the extension of Ran and Reurings and Jachymski fixed point theorems for monotone contraction mappings in partially ordered metric spaces and in metric spaces endowed with a graph to the case of quasi-contraction mappings introduced by Ćirić.

AB - In this paper, we obtain sufficient conditions for the existence of fixed points for monotone quasi-contraction mappings in metric and modular metric spaces endowed with a graph. This is the extension of Ran and Reurings and Jachymski fixed point theorems for monotone contraction mappings in partially ordered metric spaces and in metric spaces endowed with a graph to the case of quasi-contraction mappings introduced by Ćirić.

KW - directed graph

KW - fixed point

KW - modular metric space

KW - monotone mappings

KW - quasi-contraction

UR - https://www.scopus.com/pages/publications/84934996094

U2 - 10.1186/s13663-015-0341-2

DO - 10.1186/s13663-015-0341-2

M3 - Article

AN - SCOPUS:84934996094

SN - 1687-1820

VL - 2015

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

M1 - 93

ER -

On monotone Ćirić quasi-contraction mappings with a graph

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this