MMN-4052
Existence of solutions to multivalued problems in incomplete metric spaces with applications
Sumit Chandok;Abstract
In this paper, we obtain some existence results for multivaled contraction mappings in the context of O-complete orthogonal metric space (not necessarily complete metric space). Also, we provide a partial solution to Reich's problem for multivalued orthogonal contraction mappings and extend Mizoguchi-Takahashi's point theorem. In addition, we give an example to demonstrate the applicability of the acquired results. We study the solution of a differential equation and its Ulam's stability as an application of the obtained results.
Vol. 24 (2023), No. 2, pp. 737-747
DOI: 10.18514/MMN.2023.4052