F-contraction mappings on metric-like spaces in connection with integral equations on time scales

No Thumbnail Available

Date

2020

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Springer-verlag Italia Srl

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

Abstract

In this paper we investigate the existence and uniqueness of fixed points of certain (phi,F)-type contractions in the frame of metric-like spaces. As an application of the theorem we consider the existence and uniqueness of solutions of nonlinear Fredholm integral equations of the second kind on time scales. We also present a particular example which demonstrates our theoretical results.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; ERHAN, INCI M./0000-0001-6042-3695; Aksoy, Umit/0000-0002-6014-1898
ORCID
KARAPINAR, ERDAL ORCID logo
ERHAN, INCI M. ORCID logo
Aksoy, Umit ORCID logo

Keywords

Fredholm integral equations, F-contraction, Metric-like

Turkish CoHE Thesis Center URL

Fields of Science

Citation

37

WoS Q

Q1

Scopus Q

Q1

Source

Volume

114

Issue

3

Start Page

End Page

URI

https://doi.org/10.1007/s13398-020-00877-5
 https://hdl.handle.net/20.500.14411/3042

Collections

WOS
Scopus