| 非光滑多目标区间优化的最优性条件 |
| |
| 引用本文： | 钱鑫强,王开荣.非光滑多目标区间优化的最优性条件[J].山东大学学报(理学版),2020,55(11):26-34. |
| |
| 作者姓名： | 钱鑫强 王开荣 |
| |
| 作者单位： | 重庆大学数学与统计学院,重庆401331;重庆大学数学与统计学院,重庆401331 |
| |
| 基金项目： | 国家自然科学基金资助项目(11571055) |
| |
| 摘 要： | 利用Clarke方向导数和Clarke次微分得到了非光滑多目标区间优化弱LU有效解的Fritz John最优必要条件。在广义不变凸性及函数正则性的假设下得到了KKT条件、充分性条件及相关对偶理论。利用了一些实例来验证理论的可行性,这些结论能够解决一般情形下多目标区间优化的相关问题。
|
| 关 键 词： | 区间优化 正则性 LU有效解 Mond-Weir对偶 |
Optimality conditions on nonsmooth vector interval-valued optimization |
| |
| QIAN Xin-qiang,WANG Kai-rong.Optimality conditions on nonsmooth vector interval-valued optimization[J].Journal of Shandong University,2020,55(11):26-34. |
| |
| Authors: | QIAN Xin-qiang WANG Kai-rong |
| |
| Institution: | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China |
| |
| Abstract: | By using Clarke directional derivative and Clarke subdifferential, Fritz John optimal necessary conditions for weak LU efficient solutions of nonsmooth vector interval-valued optimization are obtained. Under the assumption of generalized invariant convexity and regularity of functions, KKT necessary optimality conditions, sufficient optimality conditions and related duality results are given. Some examples are used to verify the feasibility of the theory. These conclusions can solve the related problems of vector interval-valued optimization in general. |
| |
| Keywords: | interval-valued optimization regularity LU efficient solution Mond-Weir duality |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
