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强不变单调性和强G-单调性
Strong Invariant Monotonicity and Strong G-monotonicity
【摘要】 对一类广义单调映射———强单调映射进行了推广,引入了强不变单调映射和强G单-调映射,并建立了强不变单调映射与强预不变凸函数之间的等价关系,以及强G-单调映射与强G-凸函数之间的关系。
【Abstract】 In this paper,we present an extended concept of a sort of generalized monotone map-strong monotone map,the strong invariant monotone map and strong G-monotone map are defined.Equivalent relation between strong invariant monotone map and strong preinvex function and the relation between strong G-monotone map and strong G-convex function are established.
【关键词】 强不变单调映射;
强预不变凸函数;
强G-单调映射;
强G-凸函数;
等价关系;
【Key words】 strong invariant monotone map; strong preinvex function; strong G-monotone map; strong G-convex function; equivalent relation;
【Key words】 strong invariant monotone map; strong preinvex function; strong G-monotone map; strong G-convex function; equivalent relation;
- 【文献出处】 重庆师范大学学报(自然科学版) ,Journal of Chongqing Normal University(Natural Science Edition) , 编辑部邮箱 ,2006年01期
- 【分类号】O174.1
- 【被引频次】3
- 【下载频次】34