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

被引：9
|
作者：
Treanta, Savin [1 ]
机构：
[1] Univ Politehn Bucuresti, Dept Appl Math, Bucharest 060042, Romania
来源：
MATHEMATICS | 2021年 / 9卷 / 08期
关键词：
multiobjective optimization problem; LU-efficiency conditions; (rho; psi; omega)-quasiinvexity; interval-valued path-independent curvilinear integral functional; duality; control; SUFFICIENCY; OPTIMALITY;
D O I：
10.3390/math9080893
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by using the new concept of (rho,psi,omega)-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 (rho,psi,omega)-quasiinvexity hypotheses for the considered class of optimization problems.
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页数：11
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