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 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.
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.
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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