Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation

R. K. Sharma, Sumit Chandok and Sun Young Cho

Journal of Mathematics, 2020, vol. 2020, 1-8

Abstract: In this manuscript, we propose some sufficient conditions for the existence of solution for the multivalued orthogonal ℱ-contraction mappings in the framework of orthogonal metric spaces. As a consequence of results, we obtain some interesting results. Also as application of the results obtained, we investigate Ulam’s stability of fixed point problem and present a solution for the Caputo-type nonlinear fractional integro-differential equation. An example is also provided to illustrate the usability of the obtained results.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6615478

DOI: 10.1155/2020/6615478

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