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Research Article

On a minimal criterion of efficiency in vector variational control problems

Pages 804-812 | Received 05 Nov 2021, Accepted 23 Feb 2023, Published online: 29 Mar 2023
 

Abstract

In this paper, we establish a minimal criterion of efficiency for a class of multiobjective variational control problems. Thus, some minimal conditions are formulated so that all local efficient solutions are also global. Also, we present an example to illustrate the mathematical developments derived in the paper.

2010 Mathematics Subject Classifications:

Acknowledgments

This manuscript is the author's original work and has not been published nor has it been submitted simultaneously elsewhere.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Savin Treantă

Savin Treantă is currently based in the Department of Applied Mathematics, Faculty of Applied Sciences, University Politehnica of Bucharest, Romania. His research interests include multi-objective optimization, optimal control, mathematical modelling, geometric PDEs, and information theory.

He has published more than 140 scientific papers on these topics in the most prestigious journals of Mathematics and Engineering.

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