Best proximity points for generalized proximal C-contraction mappings in metric spaces with partial orders

Journal article

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POOM KUMAM

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Publication Details

Author list: Mongkolkeha C., Cho Y.J., Kumam P.

Publisher: SpringerOpen

Publication year: 2013

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2013

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884278051&doi=10.1186%2f1029-242X-2013-94&partnerID=40&md5=ab53766a076dd4d166ddd694fe2e89bf

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper we extend the notion of weakly C-contraction mappings to the case of non-self mappings and establish the best proximity point theorems for this class. Our results generalize the result due to Harjani et al. (Comput. Math. Appl. 61:790-796, 2011) and some other authors. ฉ 2013 Mongkolkeha et al.; licensee Springer.

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