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

Maher Berzig, Imed Kédim, Aymen Mannai


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.


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