The purpose of this paper is to generalize the fixed-point theorems for Banach–Pata-type contraction and Kannan–Pata-type contraction from metric spaces to Kaleva–Seikkala’s type fuzzy metric spaces. Moreover, two examples are given for the support of our results.

In this article, we proved a fixed point theorem of Ćirić-Pata type in metric space. This result extends several results in the existing literature. Moreover, an example is given in the support of our result. In particular, the main result provides a complete solution to an open problem raised by Kadelburg and Radenović (J. Egypt. Math. Soc. 24 (2016) 77-82).is satisfied for every ε ∈ [0, 1] and all x, y ∈ X, then f has a unique fixed point z ∈ X.