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

Basit Ali (), Arshad Ali Khan and Manuel De la Sen
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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

Mathematics, 2023, vol. 11, issue 3, 1-21

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.

Keywords: best proximity points; multivalued mapping; cyclic contractions; b-metric spaces; optimum solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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