Some generalized rational contractive mappings with applications

In this paper some enriched rational type contractive mappings are introduced and related fixed point theorems are proved by using Krasnselskii iteration procedure. Some examples are cited in support of our theorems to show that our theorems are more generalized. Finally, two different applications of our proved theorems are given to ensure the existence of a unique solution to a nonlinear boundary value problem and also to get solutions for some functional equations relating to the problem of dynamical programming.