半紧1-集压缩映像的固有值与固有元  

The eigenvalues and eigenvectiors for demicompact 1-set contraction mappings

作　　者：梁兰兰[1] 李鹤[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纺织高校基础科学学报》2010年第4期491-493,共3页Basic Sciences Journal of Textile Universities

基　　金：陕西省教育厅专项基金资助项目(2007JK413);西北大学科学研究基金资助项目(09A25)

摘　　要：研究了集值半紧1-集压缩映象固有值与固有元的存在性问题.利用凸闭集上对不动点指数的定义,将不动点指数与拓扑度联系起来,在定义域上讨论了拓扑度.根据拓扑度的同伦不变性得出半紧1-集压缩映象的固有值与固有元.在锥上也得到了同样的结论.The problem of existence of the eigenvalues and eigenveetiors for demicompaet 1-set contraction multi- valued mappings are discussed. Using the definition of the fixed-point index on the dosed convex subsets, the fixed-point index and topological degree are linked, the topological degree in the domain are discussed. Accord- ing to the theory of topological degree with no denaturation , the eigenvalues and eigenveetiors for demieompaet 1- set contraction mappings are received. The conclusion are the same on the conic.

关 键 词：半紧1-集压缩算子 凸闭集 固有值 固有元 

分 类 号：O152.7[理学—数学]