Some local xed point results under C-class functions with applications to coupled elliptic systems

The main objective of the paper is to state newly xed point theorems for set- valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a xed point with respect to an initial value of the set-valued mapping by using some C-class functions. The results proved herein generalize, modify and unify some recent results of the existing literature. As an application, we provide an existence theorem for a coupled elliptic system subject to various two-point boundary conditions.