| 向量值最优化问题的最优性条件与对偶性 |
| |
| 引用本文： | 陈秀宏.向量值最优化问题的最优性条件与对偶性[J].应用数学,2003,16(2):112-117. |
| |
| 作者姓名： | 陈秀宏 |
| |
| 作者单位： | 江苏淮阴师范大学数学系,淮阴,223001;南京大学数学系,南京,210093 |
| |
| 基金项目： | ThisreserchissupportedinpartbythePostdoctorFoundatonofNanjingUniversityundergrant(0 2 0 30 0 30 2 2 ) |
| |
| 摘 要： | 本文我们首先给出一类向量值优化问题（VP）的正切锥真有效解的定义，在锥方向导数的假设下，讨论了一类单目标问题 的最优性必要条件；然后利用正切锥方向导数定义一类正切锥F－凸函数类，并给出了（VP）正切锥真有效解的充分性条件，最后我们亦讨论了（VP）在正切锥真有效解意义下的对偶性质。
|
| 关 键 词： | 正切锥 真有效解 方向导数 F－凸函数 向量值最优化 对偶性 |
Optimality Conditions and Duality in Vector-Valued Optimization |
| |
| CHEN Xiu,hong.Optimality Conditions and Duality in Vector-Valued Optimization[J].Mathematica Applicata,2003,16(2):112-117. |
| |
| Authors: | CHEN Xiu hong |
| |
| Abstract: | In the paper,we give the definition of the tangent cone properly efficient solution for a class of vector valued optimizations (VP).Under the cone directional derivative assumption,we first discuss the optimality necessary conditions for a single objective problem.Then,we define a class of tangent cone F convexity in terms of the tangent cone directional derivative,and prove the sufficient optimality conditions for (VP).Finally,we also give the duality theorems under the above generalized F convexity. |
| |
| Keywords: | Tangent cone Properly efficient solution Vector valued optimization Sufficient and necessary conditions Duality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
