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

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...

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Main Authors: R. K. Sharma, Sumit Chandok
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/6615478
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spelling doaj-9a997980e1f94ec79210fdc1f99a40da2020-11-30T09:11:27ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author R. K. Sharma
Sumit Chandok
spellingShingle R. K. Sharma
Sumit Chandok
Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation
Journal of Mathematics
author_facet R. K. Sharma
Sumit Chandok
author_sort R. K. Sharma
title Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation
title_short 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_sort multivalued problems, orthogonal mappings, and fractional integro-differential equation
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2020-01-01
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.
url http://dx.doi.org/10.1155/2020/6615478
work_keys_str_mv AT rksharma multivaluedproblemsorthogonalmappingsandfractionalintegrodifferentialequation
AT sumitchandok multivaluedproblemsorthogonalmappingsandfractionalintegrodifferentialequation
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