Efficiency conditions in vector control problems governed by multiple integrals

被引：83

作者：

Mititelu, Stefan ^{[1
]}

Treanta, Savin ^{[2
]}

机构：

[1] Tech Univ Civil Engn, Dept Math & Comp Sci, 124 Lacul Tei, Bucharest 020396, Romania

[2] Univ Politehn Bucuresti, Fac Sci Appl, Dept Appl Math, 313 Splaiul Independentei, Bucharest 060042, Romania

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2018年 / 57卷 / 1-2期

关键词：

Vector control problem; Efficiency conditions; (rho; b)-Quasiinvexity; Multiple integral; MULTIOBJECTIVE CONTROL-PROBLEMS; PRE-INVEX FUNCTIONS; RIEMANNIAN-MANIFOLDS; GENERALIZED INVEXITY; PREINVEX FUNCTIONS; DUALITY; OPTIMIZATION; SUFFICIENCY; SETS;

D O I：

10.1007/s12190-017-1126-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we formulate and prove necessary and sufficient optimality conditions in multiobjective control problems which involve multiple integrals. Under (rho, b)-quasiinvexity assumptions, sufficient efficiency conditions for a feasible solution are derived.

引用

页码：647 / 665

页数：19

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