Fixed point results for generalized (α, ψ)-Meir-Keeler contractive mappings and applications

No Thumbnail Available

Date

2014

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Springeropen

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 introduce a new type of a generalized-(alpha, psi)-Meir-Keeler contractive mapping and establish some interesting theorems on the existence of fixed points for such mappings via admissible mappings. Applying our results, we derive fixed point theorems in ordinary metric spaces and metric spaces endowed with an arbitrary binary relation.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Latif, Abdul/0000-0002-8973-1381; Sintunavarat, Wutiphol/0000-0002-0932-1332

Keywords

alpha-admissible mapping, binary relation, generalized (alpha, psi)-Meir-Keeler contractive mapping

Turkish CoHE Thesis Center URL

Citation

21

WoS Q

Q1

Scopus Q

Source

Volume

Issue

Start Page

End Page

URI

https://doi.org/10.1186/1029-242X-2014-68
 https://hdl.handle.net/20.500.14411/222

Collections

WOS
Scopus