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具控制结构的广义似凸性
引用本文:陈松清,黄龙光.具控制结构的广义似凸性[J].莆田学院学报,2012,19(2):18-20.
作者姓名:陈松清  黄龙光
作者单位:集美大学理学院,福建厦门,361021
基金项目:福建省自然科学基金资助项目
摘    要:在拓扑向量空间中通过集值映射建立拟锥,在此基础上利用拟锥引入较锥凸映射更一般的若干具控制结构的广义似凸映射和控制连续等概念,讨论它们之间的相互关系,并给出了一些性质。

关 键 词:拟锥  有锋拟锥  D-控似凸映射  D-控连续

Generalized Convexity-like with Control Structure
CHEN Song-qing,HUANG Long-guang.Generalized Convexity-like with Control Structure[J].journal of putian university,2012,19(2):18-20.
Authors:CHEN Song-qing  HUANG Long-guang
Institution:(School of Sciences,Jimei University,Xiamen Fujian 361021,China)
Abstract:Quasicone as a setvalued mapping has been introduced in topological vector space.With the quasicone,conceptions of several generalized convex-like mappings and continuity with control structure that is weaker than cone convex mappings are presented.The pater shows the interrelationships and some properties among them.
Keywords:quasicone  pointed quasicone  D-convex-like  D-continuous
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