Fixed Point for t−φ(t,u,v) Mixed Monotone Model Operator

Abstract

This paper studies the uniqueness and existence of fixed point of t−φ(t,u,v) mixed monotone model operator in the partial order Banach space. Our conclusions essentially improve the relevant results. Moreover, as an application of our results, we prove the existence and uniqueness of a positive solution for a class of integral equations which can not be solved by using previously available methods.