Higher-Order Generalized Invexity in Control Problems

被引：1

作者：

Padhan, S. K. ^{[1
]}

Nahak, C. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

来源：

JOURNAL OF CONTROL SCIENCE AND ENGINEERING | 2011年 / 2011卷

关键词：

D O I：

10.1155/2011/127208

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We introduce a higher-order duality (Mangasarian type and Mond-Weir type) for the control problem. Under the higher-order generalized invexity assumptions on the functions that compose the primal problems, higher-order duality results (weak duality, strong duality, and converse duality) are derived for these pair of problems. Also, we establish few examples in support of our investigation.

引用

页数：9

共 50 条

[1] Higher-order generalized invexity in variational problems
Padhan, S. K.
Nahak, C.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (11) : 1334 - 1341
[2] Higher-order symmetric duality with higher-order generalized invexity
Padhan S.K.
Nahak C.
[J]. Journal of Applied Mathematics and Computing, 2015, 48 (1-2) : 407 - 420
[3] Higher-order generalized invexity and duality in mathematical programming
Mishra, SK
Rueda, NG
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 247 (01) : 173 - 182
[4] Higher-order symmetric duality in multiobjective programming problems under higher-order invexity
Padhan, S. K.
Nahak, C.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 1705 - 1712
[5] Higher-order generalized invexity and duality in nondifferentiable mathematical programming
Mishra, SK
Rueda, NG
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 272 (02) : 496 - 506
[6] Strict global minimizers and higher-order generalized strong invexity in multiobjective optimization
Guneet Bhatia
Rishi Rajan Sahay
[J]. Journal of Inequalities and Applications, 2013
[7] Strict global minimizers and higher-order generalized strong invexity in multiobjective optimization
Bhatia, Guneet
Sahay, Rishi Rajan
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[8] Non-differentiable higher-order symmetric duality in mathematical programming with generalized invexity
Mishra, SK
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2005, 167 (01) : 28 - 34
[9] Nondifferentiable Higher Order Symmetric Duality under Invexity/Generalized Invexity
Gulati, T. R.
Verma, Khushboo
[J]. FILOMAT, 2014, 28 (08) : 1661 - 1674
[10] Higher-order (Phi, rho)-V-invexity and duality for vector optimization problems
Sharma, Sarita
Gupta, S. K.
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2016, 65 (03) : 351 - 364

← 1 2 3 4 5 →