Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation
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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2020-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2020/6615478 |
Summary: | 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. |
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ISSN: | 2314-4629 2314-4785 |