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

نویسندگان

  • A. Benterki LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria
  • A. Hojat Ansari Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
  • M. Rouaki LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria
چکیده مقاله:

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.

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عنوان ژورنال

دوره 07  شماره 03

صفحات  169- 182

تاریخ انتشار 2018-09-01

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