Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph

Monther Rashed Alfuraidan; Mohamed Amine Khamsi

doi:10.1186/s13663-015-0294-5

Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph

Monther Rashed Alfuraidan^*
, Mohamed Amine Khamsi

^*Corresponding author for this work

Department of Mathematics

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

55 Scopus citations

Abstract

In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces. This is the first kind of such results in this direction.

Original language	English
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0294-5
State	Published - 1 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Alfuraidan and Khamsi; licensee Springer.

Keywords

directed graph
fixed point
hyperbolic metric space
multivalued mapping
nonexpansive mapping

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

Access to Document

10.1186/s13663-015-0294-5

Cite this

@article{f2bcb8ce741d45339cfc9e89daee421a,

title = "Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph",

abstract = "In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces. This is the first kind of such results in this direction.",

keywords = "directed graph, fixed point, hyperbolic metric space, multivalued mapping, nonexpansive mapping",

author = "Alfuraidan, \{Monther Rashed\} and Khamsi, \{Mohamed Amine\}",

note = "Publisher Copyright: {\textcopyright} 2015, Alfuraidan and Khamsi; licensee Springer.",

year = "2015",

month = dec,

day = "1",

doi = "10.1186/s13663-015-0294-5",

language = "English",

volume = "2015",

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

issn = "1687-1820",

publisher = "SpringerOpen",

number = "1",

}

TY - JOUR

T1 - Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph

AU - Alfuraidan, Monther Rashed

AU - Khamsi, Mohamed Amine

PY - 2015/12/1

Y1 - 2015/12/1

N2 - In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces. This is the first kind of such results in this direction.

AB - In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces. This is the first kind of such results in this direction.

KW - directed graph

KW - fixed point

KW - hyperbolic metric space

KW - multivalued mapping

KW - nonexpansive mapping

UR - https://www.scopus.com/pages/publications/84925703377

U2 - 10.1186/s13663-015-0294-5

DO - 10.1186/s13663-015-0294-5

M3 - Article

AN - SCOPUS:84925703377

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

ER -

Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this