Coincidence best proximity point of \(F_g\)-weak contractive mappings in partially ordered metric spaces

Volume 9, Issue 5, pp 2448--2457 http://dx.doi.org/10.22436/jnsa.009.05.44

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Authors

Abdul Latif - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. Mujahid Abbas - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. - Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road-0002, Pretoria, South Africa. Azhar Hussain - Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan.

Abstract

The aim of this paper is to present coincidence best proximity point results of \(F_g\)-weak contractive mappings in partially ordered metric space. Some examples are presented to prove the validity of our results.

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Keywords

• Coincidence best proximity point
• weak P-property
• \(F_g\)-weak contraction mappings.

MSC

•  47H10
•  54H25

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