The existence of optimal approximate solution theorems for generalized α-proximal contraction non-self mappings and applications

No Thumbnail Available

Date

2013

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Springer international Publishing Ag

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 sufficient conditions to find a best proximity point for a certain class of non-self mappings. It is well known that optimization problems can be transformed to the problems of the existence of a best proximity point. Hence, improvement in the best proximity point theory implicitly develops the theory of optimization. Our presented results generalize, extent and improve various well-known results on the topic in the literature. In particular, we consider some applications of our results to the best proximity point theorems on a class of metric spaces endowed with an arbitrary binary relation which involves the partially ordered metric spaces.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Sintunavarat, Wutiphol/0000-0002-0932-1332

Keywords

approximately compact, best proximity point, binary relation, generalized alpha-proximal contraction of the first kind, generalized alpha-proximal contraction of the second kind

Turkish CoHE Thesis Center URL

Citation

13

WoS Q

Scopus Q

Source

Volume

Issue

Start Page

End Page

URI

https://doi.org/10.1186/1687-1812-2013-323
 https://hdl.handle.net/20.500.14411/258

Collections

WOS
Scopus