Optimal approximate solution with best proximity point theorems via Geraghty's cyclic contraction mapping

Journal article

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Publication Details

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

Publisher: Cambridge Scientific Publishers

Publication year: 2018

Volume number: 25

Issue number: 4

Start page: 827

End page: 837

Number of pages: 11

ISSN: 1359-8678

eISSN: 1359-8678

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85058209480&partnerID=40&md5=821107b0b9eaeb307297346cadaf7090

Languages: English-Great Britain (EN-GB)

Abstract

The main objective of this paper is to introduce the concept of a Geraghty's cyclic contraction which is a generalized cyclic contractive mapping and provide best proximity point theorems for such a mapping in complete metric space and uniformly convex Banach space. Moreover, we also give some examples to illustrate our main results. ฉ CSP - Cambridge, UK; I&S - Florida, USA, 2018.

Keywords

Geraghty's function