Fixed points theorems for generalized C ψ β-rational contraction mapping in relational metric space

In this article, by employing the notion of locally f - transitivity binary relation in relational theoretic metric space, to find the existence and uniqueness of fixed point for single self-map with satisfying C psi beta - rational type contractive mapping. Moreover, some examples are also presented to justify the importance of our proved results. Our main outcome extends and generalize in several existing results of literature.