Fixed points of generalized α-admissible contractions on b-metric spaces with an application to boundary value problems

No Thumbnail Available

Date

2016

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Yokohama 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

Abstract

A general class of α-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations. © 2016.

Description

Keywords

Fixed point, Partially ordered metric space, Rational contraction

Turkish CoHE Thesis Center URL

Fields of Science

Citation

69

WoS Q

Q2

Scopus Q

Q3

Source

Journal of Nonlinear and Convex Analysis

Volume

17

Issue

6

Start Page

1095

End Page

1108

URI

https://hdl.handle.net/20.500.14411/9461

Collections

Scopus