some local fixed point results under c-class functions with applications to coupled elliptic systems

The main objective of the paper is to state newly fixed point theorems for set-valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a fixed 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.