首页 | 本学科首页   官方微博 | 高级检索  
     检索      

Robinson-Ursescu Theorem in p-normed Spaces
引用本文:丘京辉.Robinson-Ursescu Theorem in p-normed Spaces[J].东北数学,2002,18(3):209-219.
作者姓名:丘京辉
作者单位:Department of Mathematics,Suzhou University,Jiangsu,215006
基金项目:The NSF (Q1107107) of Jiangsu Educational Commission.
摘    要:For a convex set-valued map between p-normed (0 < p ≤ 1) spaces, we give a criterion for its inverse to be locally Lipschitz of order p. From this we obtain the Robinson-Ursescu Theorem in p-normed spaces and the open mapping and closed graph theorems for closed convex set-valued maps.

关 键 词:p-范空间  Robinson-Ursescu定理  凸集值映射  映射  闭图定理  局部Lipschitz性

Robinson-Ursescu Theorem in j>normed Spaces
QIU Jinghui.Robinson-Ursescu Theorem in j>normed Spaces[J].Northeastern Mathematical Journal,2002,18(3):209-219.
Authors:QIU Jinghui
Abstract:For a convex set-valued map between p-normed (0 < p < 1) spaces, we give a criterion for its inverse to be locally Lipschitz of order p. From this we obtain the Robinson-Ursescu Theorem in p-normed spaces and the open mapping and closed graph theorems for closed convex set-valued maps.
Keywords:Robinson-Ursescu theorem  open mapping and closed graph theorems  convex set-valued map  locally Lipschitz of order p  p-normed space
本文献已被 CNKI 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号