Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph

Adriana Nicolae; Donal O'Regan; Adrian Petruşel

doi:10.1515/GMJ.2011.0019

Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph

Adriana Nicolae
, Donal O'Regan
, Adrian Petruşel

Mathematics

Babes-Bolyai University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

87 Citations (Scopus)

Abstract

The purpose of this paper is to present some fixed point results for self-generalized (singlevalued and multivalued) contractions in ordered metric spaces and in metric spaces endowed with a graph. Our theorems generalize and extend some recent results in the literature.

Original language	English
Pages (from-to)	307-327
Number of pages	21
Journal	Georgian Mathematical Journal
Volume	18
Issue number	2
DOIs	https://doi.org/10.1515/GMJ.2011.0019
Publication status	Published - Jun 2011

Keywords

Fixed point
Generalized contraction
Monotone operator
Multivalued operator
Ordered metric space

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Nicolae, A;O'Regan, D;Petrusel, A

Access to Document

10.1515/GMJ.2011.0019

Cite this

@article{4ce7bfa4c6e247209b1d6140cee665e6,

title = "Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph",

abstract = "The purpose of this paper is to present some fixed point results for self-generalized (singlevalued and multivalued) contractions in ordered metric spaces and in metric spaces endowed with a graph. Our theorems generalize and extend some recent results in the literature.",

keywords = "Fixed point, Generalized contraction, Monotone operator, Multivalued operator, Ordered metric space",

author = "Adriana Nicolae and Donal O'Regan and Adrian Petru{\c s}el",

year = "2011",

month = jun,

doi = "10.1515/GMJ.2011.0019",

language = "English",

volume = "18",

pages = "307--327",

journal = "Georgian Mathematical Journal",

issn = "1072-947X",

publisher = "Walter de Gruyter GmbH",

number = "2",

}

TY - JOUR

T1 - Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph

AU - Nicolae, Adriana

AU - O'Regan, Donal

AU - Petruşel, Adrian

PY - 2011/6

Y1 - 2011/6

N2 - The purpose of this paper is to present some fixed point results for self-generalized (singlevalued and multivalued) contractions in ordered metric spaces and in metric spaces endowed with a graph. Our theorems generalize and extend some recent results in the literature.

AB - The purpose of this paper is to present some fixed point results for self-generalized (singlevalued and multivalued) contractions in ordered metric spaces and in metric spaces endowed with a graph. Our theorems generalize and extend some recent results in the literature.

KW - Fixed point

KW - Generalized contraction

KW - Monotone operator

KW - Multivalued operator

KW - Ordered metric space

UR - https://www.scopus.com/pages/publications/79960483285

U2 - 10.1515/GMJ.2011.0019

DO - 10.1515/GMJ.2011.0019

M3 - Article

SN - 1072-947X

VL - 18

SP - 307

EP - 327

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 2

ER -

Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

Other files and links

Fingerprint

Cite this