Best proximity points of generalized cyclic weak (F, ψ, ϕ)-contractions in ordered metric spaces

Arslan H. Ansari; Jamnian Nantadilok; Mohammad S. Khan

doi:10.22771/nfaa.2020.25.01.05

Best proximity points of generalized cyclic weak (F, ψ, ϕ)-contractions in ordered metric spaces

Arslan H. Ansari, Jamnian Nantadilok^*, Mohammad S. Khan

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The purpose of this paper is to introduce a new generalized cyclic weak (F, ψ, ϕ)-contraction based on the generalized weak ϕ-contraction which is proposed in [6], where F is a C-class function. Moreover, we obtain a corresponding best proximity point theorem for this cyclic mapping under certain condition. Our results obtained in this paper improve and extend previous known results in [6], as well as other results for cyclic contractions in the existing literature.

Original language	English
Pages (from-to)	55-67
Number of pages	13
Journal	Nonlinear Functional Analysis and Applications
Volume	25
Issue number	1
DOIs	https://doi.org/10.22771/nfaa.2020.25.01.05
Publication status	Published - Mar 1 2020

Keywords

Best proximity point
C-class function
Cyclic map
Cyclic weak (F, ψ, ϕ)-contraction
Ordered metric space

ASJC Scopus subject areas

Analysis
Numerical Analysis
Control and Optimization
Applied Mathematics

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10.22771/nfaa.2020.25.01.05

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abstract = "The purpose of this paper is to introduce a new generalized cyclic weak (F, ψ, ϕ)-contraction based on the generalized weak ϕ-contraction which is proposed in [6], where F is a C-class function. Moreover, we obtain a corresponding best proximity point theorem for this cyclic mapping under certain condition. Our results obtained in this paper improve and extend previous known results in [6], as well as other results for cyclic contractions in the existing literature.",

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AU - Ansari, Arslan H.

AU - Nantadilok, Jamnian

AU - Khan, Mohammad S.

PY - 2020/3/1

Y1 - 2020/3/1

N2 - The purpose of this paper is to introduce a new generalized cyclic weak (F, ψ, ϕ)-contraction based on the generalized weak ϕ-contraction which is proposed in [6], where F is a C-class function. Moreover, we obtain a corresponding best proximity point theorem for this cyclic mapping under certain condition. Our results obtained in this paper improve and extend previous known results in [6], as well as other results for cyclic contractions in the existing literature.

AB - The purpose of this paper is to introduce a new generalized cyclic weak (F, ψ, ϕ)-contraction based on the generalized weak ϕ-contraction which is proposed in [6], where F is a C-class function. Moreover, we obtain a corresponding best proximity point theorem for this cyclic mapping under certain condition. Our results obtained in this paper improve and extend previous known results in [6], as well as other results for cyclic contractions in the existing literature.

KW - Best proximity point

KW - C-class function

KW - Cyclic map

KW - Cyclic weak (F, ψ, ϕ)-contraction

KW - Ordered metric space

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ER -

Best proximity points of generalized cyclic weak (F, ψ, ϕ)-contractions in ordered metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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