Higher-order generalized invexity in variational problems

被引：1
|
作者：
Padhan, S. K. [1 ]
Nahak, C. [2 ]
机构：
[1] Veer Surendra Sai Univ Technol, Dept Math, Burla 768018, India
[2] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 11期
关键词：
higher-order duality; variational problem; higher-order -(; )-invexity; weak duality; strong duality; converse duality; Mangasarian and Mond-Wier type duality; SYMMETRIC DUALITY; 2ND-ORDER DUALITY;
D O I：
10.1002/mma.2685
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce higher-order duality (Mangasarian type and Mond-Wier type) of variational problems. Under higher-order generalized invexity assumptions on functions that compose the primal problem, higher-order duality results (weak duality, strong duality, and converse duality) are derived for this pair of problems. Also, we establish many examples and counter-examples to support our investigation. Copyright (c) 2012 John Wiley & Sons, Ltd.
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页码：1334 / 1341
页数：8
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