The Linear Regular of Infinitely Many Sets
This paper deals with bounded linear regularity and linear regularity of closed convex polyhedral sets and pseudo-convex sets. The linear regularity of an arbitrary collection of closed convex polyhedral subsets can be obtained under certain conditions. At the same time, the sufficient conditions are presented, which are for infinitely many polyhedral sets to be boundedly linearly regular and linearly regular. Some relevant examples are given in this paper. Finally, for infinitely many pseudo-convex sets, the linear regularity can be obtained.
linear regularity bounded linear regularity polyhedral sets pseudo-convex sets
Shengnan Feng Wei Xiang Yaoqi Ma
Department of Mathematics Northeast Forestry University Harbin, China
国际会议
杭州
英文
444-446
2011-10-28（万方平台首次上网日期，不代表论文的发表时间）