Second-Order Duality for Nondifferentiable Minimax Programming Involving Generalized Type I Functions

S. K. Mishra; N. G. Rueda

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Second-Order Duality for Nondifferentiable Minimax Programming Involving Generalized Type I Functions

机译：涉及广义I型函数的不可微Minimax规划的二阶对偶

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摘要

We apply the optimality conditions of nondifferentiable minimax programming to formulate a general second-order Mond-Weir dual to the nondifferentiable minimax programming involving second-order pseudo-quasi Type I functions. We establish also weak, strong, and strict converse duality theorems.

机译：我们应用不可微极小极大规划的最优性条件，将一般的二阶蒙德-韦尔对偶公式化为涉及二阶伪拟I型函数的不可微极小极大规划。我们还建立了弱，强和严格的逆对偶性定理。

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来源
《Journal of Optimization Theory and Applications》 |2006年第3期|479-488|共10页
作者
S. K. Mishra; N. G. Rueda;
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作者单位

Department of Mathematics Statistics and Computer Science College of Basic Sciences and Humanities G. B. Pant University of Agriculture and Technology;

Department of Mathematics Merrimack College;

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原文格式 PDF
正文语种 eng
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关键词
Duality; nondifferentiable programming; minimax programming; generalized convexity;

机译：对偶性;不可微编程;极小极大规划;广义凸性;

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专利

1. Second-order duality for nondifferentiable minimax programming involving generalized Type I functions [J] . Mishra SK, Rueda NG Journal of Optimization Theory and Applications . 2006,第3期

机译：涉及广义I类函数的不可微minimax编程的二阶对偶性
2. Higher-Order Duality in Nondifferentiable Minimax Programming with Generalized Type I Functions [J] . I. Ahmad, Z. Husain, S. Sharma Journal of Optimization Theory and Applications . 2009,第1期

机译：具有广义I型函数的不可微Minimax规划中的高阶对偶
3. Higher-Order Duality in Nondifferentiable Minimax Programming with Generalized Type I Functions [J] . I. Ahmad, Z. Husain, S. Sharma Journal of Optimization Theory and Applications . 2009,第1期

机译：具有广义I型函数的不可微Minimax规划中的高阶对偶
4. Second-Order Duality for Nondifferentiable Minimax Fractional Programming Involving (F, ρ)-Convexity [C] . S. K. Gupta, Debasis Dangar IAENG International Conference on Electrical Engineering Special Session;IAENG International Conference on Industrial Engineering;IAENG International Conference on Operations Research;IAENG International Conference on Industrial Engineering Special Session;IAENG International Conference on Scientific Computing . 2012

机译：二阶二元性用于非增强的最小值分数涉及（F，ρ） - 漏洞
5. An algebraic perspective on homogeneous cone programming, and the primal-dual second-order cone approximations algorithm for symmetric cone programming. [D] . Chua, Chek Beng. 2003

机译：齐次锥规划的代数视角，以及对称锥规划的原始-对偶二阶锥逼近算法。
6. Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function [O] . Arun Kumar Tripathy 2014

机译：广义Univex函数下具有平方根项的多目标分数规划的二阶对偶性
7. Second-order duality for nondifferentiable minimax fractional programming problems with generalized convexity [O] . Meraj Khan 2013

机译：具有广义凸的不可微极小分式规划问题的二阶对偶性

Second-Order Duality for Nondifferentiable Minimax Programming Involving Generalized Type I Functions

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