In this article, the notion of rational interpolative Meir-Keeler type contraction is discussed. The existence and uniqueness a fixed point for Das-Gupta are investigated. obtained results improve generalize existing on topic in recent literature.

The purpose of this paper is to present a best proximity point theorems through rational expression for a combination of contraction condition, Kannan and Chatterjea nonlinear cyclic contraction in what we call MT-K and MT-C rational cyclic contraction. Some best proximity point theorems for a mapping satisfy these conditions have been established in metric spaces. We also give some examples to...

The intention of this script is to construct and obtain some new results for common coupled fixed points in b-metric space a pair mappings satisfying rational type contraction. present extend, modify, generalize the existing literature. are verified with help suitable examples.

In this paper, we consider the notion of multivalued rational type \begin{document}$ F- $\end{document} contraction mappings and prove fixed point theorems for mappings. Also give an illustrative example.

Abstract This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, fixed point results for set-valued cone-contraction mappings. We theorem rational type cone-contractions spaces. Our extend improve given literature.

In this paper, we present a new type of rational contraction in double controlled metric-like spaces and improve recent results such spaces. Moreover, there is an example to verify the correctness our results. Finally, also obtain some fixed point results, which can be derive directly from main theorem.