On a Dual Pair of Multiobjective Interval-Valued Variational Control Problems

Savin Treanţă
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Savin Treanţă: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

Mathematics, 2021, vol. 9, issue 8, 1-11

Abstract: In this paper, by using the new concept of ( ? , ? , ? ) -quasiinvexity associated with interval-valued path-independent curvilinear integral functionals, we establish some duality results for a new class of multiobjective variational control problems with interval-valued components. More concretely, we formulate and prove weak, strong, and converse duality theorems under ( ? , ? , ? ) -quasiinvexity hypotheses for the considered class of optimization problems.

Keywords: multiobjective optimization problem; LU-efficiency conditions; ( ? , ? , ? )-quasiinvexity; interval-valued path-independent curvilinear integral functional; duality; control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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