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 Fp-contractive mapping is the set of non-self mappings and Fp-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 Fp−contractions in complete metric spaces endowed with Pp-property. Moreover,
we present some examples to support our results.