The Approximate Solution for Generalized Proximal Contractions in Complete Metric Spaces

Kanokwan Sitthithakerngkiet, Somayya Komal, Dhananjay Gopal, Farhsid Khojasteh, Poom Kumam

Abstract


In this paper, we introduce new notions of $F_{p}$-contractive mapping is the set of non-self mappings and $F_{p}$-proximal contractive mappings of first and second kind. Then, we generalize the best proximity point theorems and show the existence of $p$-best proximity points and their uniqueness by the help $F_p-$contractions in complete metric spaces endowed with $P_{p}$-property. Moreover, we present some examples to support our results

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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|