Multivalued fixed point theorem in b-metric spaces and its application to differential inclusions

Maher Berzig, Imed Kédim, Aymen Mannai
2018 Filomat  
Our purpose in this paper is to present a fixed point result for multivalued mappings satisfying nonlinear quasi-contractive condition only on related points. Moreover, we provide a qualitative study of well-posedness, limit shadowing property and Ulam-Hyers stability of our fixed point problem. As application, we discuss the existence of a unique solution for a class of differential inclusions.
doi:10.2298/fil1808963b fatcat:gmsmz7g6a5dbbo6im7eajwsp4y