Fixed points for cyclic orbital generalized contractions on complete metric spaces

No Thumbnail Available

Date

2013

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

de Gruyter Open Ltd

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

We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293-303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal.

Description

Tas, Kenan/0000-0001-8173-453X; KARAPINAR, ERDAL/0000-0002-6798-3254; Romaguera, Salvador/0000-0001-7857-6139;

Keywords

Fixed point, Cyclic generalized contraction, Complete metric space

Turkish CoHE Thesis Center URL

Citation

11

WoS Q

Scopus Q

Source

Volume

11

Issue

3

Start Page

552

End Page

560

URI

https://doi.org/10.2478/s11533-012-0145-0
 https://hdl.handle.net/20.500.14411/456

Collections

WOS
Scopus