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

الملخص EN

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.