Error bounds for set inclusions  

作　　者：郑喜印 

机构地区：[1]Department of Mathematics, Yunnan University, Kunming 650091, China

出　　处：《Science China Mathematics》2003年第6期750-763,共14页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant No.19861004);the Natural Science Foundation of Yunnan Province.

摘　　要：A variant of Robinson-Ursescu Theorem is given in normed spaces. Several error bound theorems for convex inclusions are proved and in particular a positive answer to Li and Singer's conjecture is given under weaker assumption than the assumption required in their conjecture. Perturbation error bounds are also studied. As applications, we study error bounds for convex inequality systems.A variant of Robinson-Ursescu Theorem is given in normed spaces. Several error bound theorems for convex inclusions are proved and in particular a positive answer to Li and Singer's conjecture is given under weaker assumption than the assumption required in their conjecture. Perturbation error bounds are also studied. As applications, we study error bounds for convex inequality systems.

关 键 词：error bound  metrical regularity  CONVEX multifunction  RECESSION cone  NORMED space. 

分 类 号：O189[理学—数学]