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

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  • R. K. Sharma
  • Sumit Chandok
  • Sun Young Cho

Abstract

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.

Suggested Citation

  • R. K. Sharma & Sumit Chandok & Sun Young Cho, 2020. "Multivalued Problems, Orthogonal Mappings, and Fractional Integro-Differential Equation," Journal of Mathematics, Hindawi, vol. 2020, pages 1-8, November.
  • Handle: RePEc:hin:jjmath:6615478
    DOI: 10.1155/2020/6615478
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