| 摘要: |
| 针对凸优化问题近似解集的等价刻画，在Dutta J提出的半不变凸函数的基础之上给出了ψ 强半不变凸函数的定义；利用η 次微分和η 法锥，探究了单目标凸优化问题拟最优解集的性质，从而得出了单目标凸优化问题拟最优解集的等价刻画。 |
| 关键词: 不变凸集 ψ 强半不变凸函数 η 次微分 解集刻画 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Characterizations of Approximate Solution Sets ofψ Strongly Semi Invex Optimization Problems |
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ZHANG Xue qing1， LI Jun1， LIU Xiao jing2
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| Abstract: |
| Based on the semi invex convex function proposed by DUTTA J， the ψ strong semi invex convex function is given for the equivalence form of the approximate solution sets of the convex optimization problems. The properties of quasi optimal solution sets of the single objective optimization problems are showed by η subdifferential and η normal cone. Furthermore， the equivalence form of the quasi optimal solution sets of the single objective optimization problems is thus obtained. |
| Key words: invex sets ψ strongly semi invex functions η subdifferential characterization of solution sets |
