OPTIMALITY CONDITIONS AND DUALITY FOR MULTIOBJECTIVE CONTROL PROBLEMS

被引：15

作者：

Gulati, T. R. ^{[1
]}

Husain, I. ^{[2
]}

Ahmed, A. ^{[3
]}

机构：

[1] Indian Inst Technol, Dept Math, Roorkee 247667, Uttar Pradesh, India

[2] Natl Inst Technol, Dept Math, Srinagar 190006, Kashmir, India

[3] Univ Kashmir, Dept Stat, Srinagar 190006, Kashmir, India

来源：

JOURNAL OF APPLIED ANALYSIS | 2005年 / 11卷 / 02期

关键词：

Pareto optimality; efficiency; proper efficiency; multiobjective control problems; duality; free boundary conditions; static problems;

D O I：

10.1515/JAA.2005.225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fritz John and Kuhn-Tucker type necessary optimality conditions for a Pareto optimal (efficient) solution of a multiobjective control problem are obtained by first reducing the multiobjective control problem to a system of single objective control problems, and then using already established optimality conditions. As an application of Kuhn-Tucker type optimality conditions, Wolfe and Mond-Weir type dual multiobjective control problems are formulated and usual duality results are established under invexity/generalized invexity, relating properly efficient solutions of the primal and dual problems. Wolfe and Mond-Weir type dual multiobjective control problems with free boundary conditions are also presented.

引用

页码：225 / 245

页数：21

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