Best proximity point theorems for rational proximal contractions

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

No matching items found.

Publication Details

Author list: Nashine H.K., Kumam P., Vetro C.

Publisher: SpringerOpen

Publication year: 2013

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2013

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884222126&doi=10.1186%2f1687-1812-2013-95&partnerID=40&md5=bcacb46e191470098e2abb9ef68b20c6

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

We provide sufficient conditions which warrant the existence and uniqueness of the best proximity point for two new types of contractions in the setting of metric spaces. The presented results extend, generalize and improve some known results from best proximity point theory and fixed-point theory. We also give some examples to illustrate and validate our definitions and results. ฉ 2013 Nashine et al.; licensee Springer.

Keywords

Contraction, Generalized proximal contraction, Optimal approximate solution