Best Proximity Point Theorems without the P-Property for New Generalized Weakly Contraction Mappings in Partially Ordered Metric Spaces

Aphinat Ninsri, Wutiphol Sintunavarat

Abstract


In this paper, we define the new concept of a generalized weakly contractive condition for nonlinear nonself-mappings and  establish new best proximity point theorems for such mappings with three control functions in partially ordered metric spaces without the P-property.  These results generalize the main results of Babu and Leta \cite{Bab2017}.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|