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...
| Published in: | Journal of Mathematics |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Online Access: | http://dx.doi.org/10.1155/2020/6615478 |
| _version_ | 1849433681296359424 |
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| author | R. K. Sharma Sumit Chandok |
| author_facet | R. K. Sharma Sumit Chandok |
| author_sort | R. K. Sharma |
| collection | DOAJ |
| container_title | Journal of Mathematics |
| description | 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. |
| format | Article |
| id | doaj-art-9a997980e1f94ec79210fdc1f99a40da |
| institution | Directory of Open Access Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| spelling | doaj-art-9a997980e1f94ec79210fdc1f99a40da2025-08-20T03:36:53ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/66154786615478Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential EquationR. K. Sharma0Sumit Chandok1School of Mathematics, Thapar Institute of Engineering & Technology, Patiala 147004, Punjab, IndiaSchool of Mathematics, Thapar Institute of Engineering & Technology, Patiala 147004, Punjab, IndiaIn 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.http://dx.doi.org/10.1155/2020/6615478 |
| spellingShingle | R. K. Sharma Sumit Chandok Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation |
| title | Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation |
| title_full | Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation |
| title_fullStr | Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation |
| title_full_unstemmed | Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation |
| title_short | Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation |
| title_sort | multivalued problems orthogonal mappings and fractional integro differential equation |
| url | http://dx.doi.org/10.1155/2020/6615478 |
| work_keys_str_mv | AT rksharma multivaluedproblemsorthogonalmappingsandfractionalintegrodifferentialequation AT sumitchandok multivaluedproblemsorthogonalmappingsandfractionalintegrodifferentialequation |