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Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b -Metric Spaces

Author

Listed:
  • Basit Ali

    (Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan)

  • Arshad Ali Khan

    (Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan)

  • Manuel De la Sen

    (Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country (UPV/EHU), Campus of Leioa, 48940 Leioa, Bizkaia, Spain)

Abstract

This paper deals with the existence of an optimum solution of a system of ordinary differential equations via the best proximity points. In order to obtain the optimum solution, we have developed the best proximity point results for generalized multivalued contractions of b -metric spaces. Examples are given to illustrate the main results and to show that the new results are the proper generalization of some existing results in the literature.

Suggested Citation

  • Basit Ali & Arshad Ali Khan & Manuel De la Sen, 2023. "Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b -Metric Spaces," Mathematics, MDPI, vol. 11(3), pages 1-21, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:574-:d:1043385
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