Best proximity point theorems for multivalued mappings on partially ordered metric spaces

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Publication Details

Author list: Pragadeeswarar V., Marudai M., Kumam P.

Publication year: 2016

Journal: Journal of Nonlinear Science and Applications (2008-1898)

Volume number: 9

Issue number: 4

Start page: 1911

End page: 1921

Number of pages: 11

ISSN: 2008-1898

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84955571056&partnerID=40&md5=724b0d5851570ddfd618af3323804bcb

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we prove some best proximity point theorems for multivalued mappings in the setting of complete partially ordered metric spaces. As an application, we infer best proximity point and fixed point results for single valued mappings in partially ordered metric spaces. The results presented generalize and improve various known results from best proximity and fixed point theory. ฉ 2016 All rights reserved.

Keywords

Optimal approximate solution, Proximally increasing mapping