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Multivalued fixed point theorem in b-metric spaces and its application to differential inclusions
2018
Filomat
Preserved Fulltext
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