• Title of article

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

  • Author/Authors

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

  • Pages
    14
  • From page
    169
  • To page
    182
  • Abstract
    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.
  • Keywords
    Fixed point , set-valued mapping , partial metric space , coupled elliptic system , C-class function
  • Journal title
    Astroparticle Physics
  • Serial Year
    2018
  • Record number

    2443104