Best proximity point theorems for generalized α - ψ -proximal contractions

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Publication Details

Author list: Ali M.U., Ansari A.H., Khammahawong K., Kumam P.

Publisher: Springer Verlag

Publication year: 2018

Volume number: 760

Start page: 341

End page: 352

Number of pages: 12

ISBN: 978-3-319-73149-0

ISSN: 1860-949X

eISSN: 1860-949X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85038862064&doi=10.1007%2f978-3-319-73150-6_27&partnerID=40&md5=95f79ca1c70a205f9076a044479cd8a6

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce a new generalization of multi-valued α - ψ -proximal contraction and prove some best proximity point theorems for such mappings on complete metric spaces. An example is also constructed to show the generality of our results. © 2018, Springer International Publishing AG.

Keywords

Best proximity point, (h, F, α, β, μ, ψ) -proximal contraction, (h, F, α, μ, ψ) -proximal contraction, α - ψ -proximal contraction