Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070320180901Some local fixed point results under $C$-class functions with applications to coupled elliptic systems169182542479ENA. Hojat AnsariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranA. BenterkiLAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria0000-0001-9060-4737M. RouakiLAMDA-RO Laboratory, Department of Mathematics, University of Blida, AlgeriaJournal Article20171231The 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.http://jlta.iauctb.ac.ir/article_542479_7d7ea568363949fab2cb603f4a0a075f.pdf