Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems

Jianke Zhang

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Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems

机译：区间值非线性规划的最优性条件和Wolfe对偶。

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摘要

The concepts of preinvex and invex are extended to the interval-valued functions. Under the assumption of invexity, the Karush-Kuhn-Tucker optimality sufficient and necessary conditions for interval-valued nonlinear programming problems are derived. Based on the concepts of having no duality gap in weak and strong sense, theWolfe duality theorems for the invex interval-valued nonlinear programming problems are proposed in this paper.

机译：preinvex和invex的概念已扩展到区间值函数。在有凸性的假设下，推导了Karush-Kuhn-Tucker最优性关于区间值非线性规划问题的充分必要条件。基于在弱和强意义上没有对偶间隙的概念，提出了凸区间值非线性规划问题的Wolfe对偶定理。

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来源
《Journal of applied mathematics 》 |2013年第8期| 共11页
作者
Jianke Zhang;
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正文语种 eng
中图分类应用数学 ;
关键词
Optimality Condition and Wolfe Duality; Invex Interval-Valued; Nonlinear Programming Problems;

机译：最优性条件和Wolfe对偶;整数区间值;非线性规划问题;

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专利

1. Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems [J] . Jianke Zhang Journal of applied mathematics . 2013 ,第Pta8期

机译：区间值非线性规划的最优性条件和Wolfe对偶。
2. Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems [J] . JiankeZhang Journal of applied mathematics . 2013 ,第1期

机译：凸区间值非线性规划问题的最优性条件和Wolfe对偶。
3. Optimality conditions and duality results of the nonlinear programming problems under (p,r)-invexity on differentiable manifolds [J] . Shreyasi Jana, Chandal Nahak BSG Proceedings . 2014 ,第4期

机译：可微流形上（p，r）-凸性下非线性规划问题的最优性条件和对偶结果
4. Wolfe duality for multiobjective programming problems with generalized uniform B#x03C1;-(p, r)-invexity functions [C] . Wang Rongbo, Feng Qiang 2012 Third International Conference on Intelligent Control and Information Processing. . 2012

机译：具有广义一致B ρ-（p，r）-不变性函数的多目标规划问题的Wolfe对偶
5. Global optimality conditions in mathematical programming and optimal control. [D] . Pacheenburawana, Pariwat. 2005

机译：数学编程和最优控制中的全局最优性条件。
6. Second-order optimality conditions for nonlinear programs and mathematical programs [O] . Ikram Daidai -1

机译：非线性程序和数学程序的二阶最优性条件
7. Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems [O] . Jianke Zhang 2013

机译：invex间隔值非线性规划问题的最优条件与狼削性

Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems

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