Common fixed point results for generalized (ψ, β)-Geraghty contraction type mapping in partially ordered metric-like spaces with application

Habes Alsamir, Mohd. Salmi Md. Noorani, Wasfi Shatanawi, Kamal Abodyah

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.

Original languageEnglish
Pages (from-to)5497-5509
Number of pages13
JournalFilomat
Volume31
Issue number17
DOIs
Publication statusPublished - 1 Jan 2017

Fingerprint

Generalized Contraction
Common Fixed Point
Metric
Metric space
Fixed point theorem
Partial
Nonlinear Mapping
Fixed Point Theory
Fixed point

Keywords

  • Common fixed point
  • Fixed point
  • Metric like spaces
  • Metric spaces

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Common fixed point results for generalized (ψ, β)-Geraghty contraction type mapping in partially ordered metric-like spaces with application. / Alsamir, Habes; Md. Noorani, Mohd. Salmi; Shatanawi, Wasfi; Abodyah, Kamal.

In: Filomat, Vol. 31, No. 17, 01.01.2017, p. 5497-5509.

Research output: Contribution to journalArticle

@article{ea14610f215a41a8bfe1bc4b21ae7b23,
title = "Common fixed point results for generalized (ψ, β)-Geraghty contraction type mapping in partially ordered metric-like spaces with application",
abstract = "Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.",
keywords = "Common fixed point, Fixed point, Metric like spaces, Metric spaces",
author = "Habes Alsamir and {Md. Noorani}, {Mohd. Salmi} and Wasfi Shatanawi and Kamal Abodyah",
year = "2017",
month = "1",
day = "1",
doi = "10.2298/FIL1717497A",
language = "English",
volume = "31",
pages = "5497--5509",
journal = "Filomat",
issn = "0354-5180",
publisher = "Universitet of Nis",
number = "17",

}

TY - JOUR

T1 - Common fixed point results for generalized (ψ, β)-Geraghty contraction type mapping in partially ordered metric-like spaces with application

AU - Alsamir, Habes

AU - Md. Noorani, Mohd. Salmi

AU - Shatanawi, Wasfi

AU - Abodyah, Kamal

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.

AB - Harandi [A. A. Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012 (2012), 10 pages] introduced the notion of metric-like spaces as a generalization of partial metric spaces and studied some fixed point theorems in the context of the metric-like spaces. In this paper, we utilize the notion of the metric-like spaces to introduce and prove some common fixed points theorems for mappings satisfying nonlinear contractive conditions in partially ordered metric-like spaces. Also, we introduce an example and an application to support our work. Our results extend and modify some recent results in the literature.

KW - Common fixed point

KW - Fixed point

KW - Metric like spaces

KW - Metric spaces

UR - http://www.scopus.com/inward/record.url?scp=85038379682&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85038379682&partnerID=8YFLogxK

U2 - 10.2298/FIL1717497A

DO - 10.2298/FIL1717497A

M3 - Article

VL - 31

SP - 5497

EP - 5509

JO - Filomat

JF - Filomat

SN - 0354-5180

IS - 17

ER -