运筹学学报
運籌學學報
운주학학보
OR TRANSACTIONS
2009年
2期
68-82
,共15页
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
運籌學%(E,F)-凸集%b-半-(E,F)-凸函數%b-半-(E,F)-凸規劃%最優性條件%對偶定理
운주학%(E,F)-철집%b-반-(E,F)-철함수%b-반-(E,F)-철규화%최우성조건%대우정리
Operations research%(E%F)-convex set%b-semi-(E%F)-convex function%b-semi-(E%F)-convex programming%optimality conditions%duality theorems
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.
本文介紹瞭一組新的廣義凸函數: b-半-(E,F)-凸函數(擬b-半-(E,F)-凸函數,偽b-半-(E,F)-凸函數),併討論瞭它們的一些基本性質.研究瞭帶不等式約束的非線性b-半-(E,F)-凸規劃的最優性充分條件和對偶定理.
본문개소료일조신적엄의철함수: b-반-(E,F)-철함수(의b-반-(E,F)-철함수,위b-반-(E,F)-철함수),병토론료타문적일사기본성질.연구료대불등식약속적비선성b-반-(E,F)-철규화적최우성충분조건화대우정리.
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.
