THE TOPOLOGY OF THE RHO-HAUSDORFF DISTANCE

被引:69
作者
ATTOUCH, H
LUCCHETTI, R
WETS, RJB
机构
[1] UNIV MONTPELLIER 2,F-34060 MONTPELLIER,FRANCE
[2] UNIV CALIF DAVIS,DAVIS,CA 95616
来源
ANNALI DI MATEMATICA PURA ED APPLICATA | 1991年 / 160卷
关键词
D O I
10.1007/BF01764131
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An analysis of the topology generated by the rho-hausdorff distances on the hyperspace of subsets of a normed linear space. In addition, a compactness criterion is derived for the topology generated by the pointwise convergence of the distance functions (the Choquet-Wijsman topology).
引用
收藏
页码:303 / 320
页数:18
相关论文
共 37 条
[21]  
KLEIN E, 1984, THEORY CORRESPONDENC
[22]  
LECHICKI A, 1986, WIJSMAN CONVERGENCE
[23]  
LEMAIRE B, 1988, INT SERIES NUMERICAL, P163
[24]  
LEMAIRE B, 1986, SEMINAIRE ANAL CONVE, V17
[25]  
LUCCHETTI R, 1985, B UNIONE MAT ITAL, V4C, P477
[26]  
LUCCHETTI R, 1982, J MATH ANAL APPLI, V99, P204
[27]  
MICHAEL E, 1967, T AM MATH SOC, P152
[28]   CONVERGENCE OF CONVEX SETS AND OF SOLUTIONS OF VARIATIONAL INEQUALITIES [J].
MOSCO, U .
ADVANCES IN MATHEMATICS, 1969, 3 (04) :510-&
[29]  
MOUALLIEF K, 1988, VARIATIONAL METRIC E
[30]  
MOUALLIF K, IN PRESS J OPTIMIZ T