广东工业大学学报Issue(1)：55-58,4.DOI:10.3969/j.issn.1007-7162.2014.01.011
集值极大单调映象拓扑度的稳定性
On the Homotopy Invariance of Topological Degree for Multivalued Maximal Monotone Mappings
王伟 1蒋平川1
作者信息
- 1. 广东工业大学应用数学学院，广东广州510520
- 折叠
摘要
Abstract
For a cluster of maximal monotone mappings , Hausdorff continuity of themselves and their do-main were constructed .The multi-valued mappings were transformed into single-valued mappings by means of their Yosida approximation , the homotopy invariance of Brouwer degree was used to approach its topological degree with the degree of its Yosida approximation , and the homotopy invariance of the degree for the cluster of maximal monotone mappings was obtained .Besides , some basic properties of the topolo-gical degree for the cluster of maximal monotone mappings as defined above were obtained .Similarly, un-der some additional assumptions , a theorem was derived about the homotopy invariance of the degree for the sum of two maximal monotone mappings .关键词
极大单调映象/拓扑度/同伦不变性/连续性/Yosida近似Key words
maximal monotone mapping/topological degree/the homotopy invariance/continuity/Yosi-da approximation分类
数理科学引用本文复制引用
王伟,蒋平川..集值极大单调映象拓扑度的稳定性[J].广东工业大学学报,2014,(1):55-58,4.
