A New Fixed Point Result Via Property P With an Application

No Thumbnail Available

Date

2017

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

int Scientific Research Publications

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Thumbnail Image
Organizational Unit
Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

Journal Issue

Events

Abstract

The purpose of this paper is to introduce a new contractive condition. We prove the existence and uniqueness of a fixed point of self-mapping under this new contractive condition. Moreover, we observe analog of these results for the mappings that satisfy the property P. An application on integral equations is presented to illustrate the main result. Our results extend and generalize well-known results in the literature. (C) 2017 All rights reserved.

Description

Mustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254
ORCID
Mustafa, Zead ORCID logo
KARAPINAR, ERDAL ORCID logo

Keywords

Contractive mapping, fixed point, partial metric space, property P, integral equations

Turkish CoHE Thesis Center URL

Fields of Science

Citation

WoS Q

Scopus Q

Source

Volume

10

Issue

4

Start Page

2066

End Page

2078

URI

https://doi.org/10.22436/jnsa.010.04.61
 https://hdl.handle.net/20.500.14411/618

Collections

WoS