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21 January 2023

21 Pages

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

,
and
1
Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan
2
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
*
Author to whom correspondence should be addressed.
Mathematics2023, 11(3), 574;https://doi.org/10.3390/math11030574
This article belongs to the Section C1: Difference and Differential Equations
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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.

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