A best proximity point theorem for Roger–Hardy type generalized F-contractive mappings in complete metric spaces with some examples

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Author list: Khammahawong K., Kumam P.

Publisher: Springer

Publication year: 2018

Journal: Revista- Real Academia de Ciencias Exactas Fisicas Y Naturales Serie a Matematicas (1578-7303)

Volume number: 112

Issue number: 4

Start page: 1503

End page: 1519

Number of pages: 17

ISSN: 1578-7303

eISSN: 1579-1505

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85053683354&doi=10.1007%2fs13398-017-0440-5&partnerID=40&md5=6e9367c3f4cf1f9d3d6125143bd73027

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we establish a new best proximity point theorem for Roger–Hardy type generalized F-contraction mappings and nonexpansive mappings in complete metric spaces. Also, we give some examples for supporting main results. Moreover, our results improve and extend several results in literature. © 2017, Springer-Verlag Italia S.r.l.

Keywords

Roger–Hardy type contraction