|
|||||
|
|
| B-半-（E，F）-凸函数和规划 | |
| 引用本文： | 曾友芳,简金宝,晁绵涛.B-半-（E，F）-凸函数和规划[J].运筹学学报,2009,13(2). |
| 作者姓名： | 曾友芳 简金宝 晁绵涛 |
| 作者单位： | 1. 上海大学理学院数学系,上海200444;广西大学数学与信息科学学院,南宁530004 2. 广西大学数学与信息科学学院,南宁,530004 3. 广西教育学院,南宁,530023 |
| 摘 要： | 本文介绍了一组新的广义凸函数: b-半-(E,F)-凸函数(拟b-半-(E,F)-凸函数,伪b-半-(E,F)-凸函数),并讨论了它们的一些基本性质.研究了带不等式约束的非线性b-半-(E,F)-凸规划的最优性充分条件和对偶定理. |
| 关 键 词： | 运筹学 (E F)-凸集 b-半-(E F)-凸函数 b-半-(E F)-凸规划 最优性条件 对偶定理 |
B-Semi-(E,.F)-Convex Functions and Programming |
|
| Zeng Youfang,Jian Jinbao,Chao Miantao.B-Semi-(E,.F)-Convex Functions and Programming[J].OR Transactions,2009,13(2). | |
| Authors: | Zeng Youfang Jian Jinbao Chao Miantao |
| Abstract: | In this paper, a new class of generalized convex functions, which includes 6-semi-(E, F)-convex (quasi-b-semi-(E, F)-convex, pseudo-6-semi-(E, F)-convex) functions is introduced, and some of their basic properties are discussed. Furthermore, several sufficient optimality conditions and duality theorems for the nonlinear 6-semi-(E, F)-convex programming with inequality constraints are studied. |
| Keywords: | Operations research (E F)-convex set b-semi-(E F)-convex function b-semi-(E F)-convex programming optimality conditions duality theorems |
| 本文献已被 维普 万方数据 等数据库收录！ | |