Some fixed point theorems for $\mathcal{T}_{F}$-type contraction under implicit relation in partial metric spaces

Gurucharan Singh Saluja

Abstract


This paper aims to study $\mathcal{T}_{F}$-type contraction in partial metric spaces and establish some fixed point theorems using implicit relation for the said space. The results presented in this paper extend and generalize the corresponding results of Kir and Kiziltunc \cite{KK16} to the setting of $\psi$-implicit contraction. The results also extend and generalize several results from the existing literature.

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