Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation
| Title: | Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation |
|---|---|
| Authors: | R. K. Sharma, Sumit Chandok |
| Source: | Journal of Mathematics, Vol 2020 (2020) |
| Publisher Information: | Hindawi Limited, 2020. |
| Publication Year: | 2020 |
| Collection: | LCC:Mathematics |
| Subject Terms: | Mathematics, QA1-939 |
| More Details: | 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. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English |
| ISSN: | 2314-4629 2314-4785 |
| Relation: | https://doaj.org/toc/2314-4629; https://doaj.org/toc/2314-4785 |
| DOI: | 10.1155/2020/6615478 |
| Access URL: | https://doaj.org/article/9a997980e1f94ec79210fdc1f99a40da |
| Accession Number: | edsdoj.9a997980e1f94ec79210fdc1f99a40da |
| Database: | Directory of Open Access Journals |
| ISSN: | 23144629 23144785 |
|---|---|
| DOI: | 10.1155/2020/6615478 |
| Published in: | Journal of Mathematics |
| Language: | English |