应用泛函分析学报
應用汎函分析學報
응용범함분석학보
ACTA ANALYSIS FUNCTIONALIS APPLICATA
2010年
4期
305-309
,共5页
k-集压缩映射%凝聚映射%延拓定理%拓扑度计算%郭大钧定理
k-集壓縮映射%凝聚映射%延拓定理%拓撲度計算%郭大鈞定理
k-집압축영사%응취영사%연탁정리%탁복도계산%곽대균정리
k-set contraction mapping%condensing mapping%extension theorem%calculation of topological degree%Guo's theorem
应用著名的Dugundji延拓定理和Urysohn引理,将Hilbert空间E中有界闭凸集D上的k-集压缩映射和聚映射延拓到全空间,并给出了其在拓扑度计算方面的应用.
應用著名的Dugundji延拓定理和Urysohn引理,將Hilbert空間E中有界閉凸集D上的k-集壓縮映射和聚映射延拓到全空間,併給齣瞭其在拓撲度計算方麵的應用.
응용저명적Dugundji연탁정리화Urysohn인리,장Hilbert공간E중유계폐철집D상적k-집압축영사화취영사연탁도전공간,병급출료기재탁복도계산방면적응용.
In this paper, we extended the k-set contraction mappings and condensing mappings on a bounded convex closed set D in a Hilbert space E to the entire space, and obtained some applications to the calculation of topological degree.
