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度量投影的收敛性(英文)
引用本文:吴伟志.度量投影的收敛性(英文)[J].数学研究,1998(3).
作者姓名:吴伟志
作者单位:浙江海洋学院!舟山,316000
摘    要:讨论了赋范空间中度量投影的收敛性.得到了在局部紧集控制下,Chebyshev凸集序列的度量投影的收敛性与K-M收敛,Wijsman收敛和Kuratowski收敛都等价.本文的结论完善了M.Tsukada在1]和2]结果.

关 键 词:度量投影  K-M收敛  Wijsman收敛  Chedyshev集

On the Convergence of Metric Projections
Wu Weizhi.On the Convergence of Metric Projections[J].Journal of Mathematical Study,1998(3).
Authors:Wu Weizhi
Abstract:In this paper, we study the convergence of metric productions for a sequence of convex sets in a normed space which may be nonreflexive. Our central result is that the convergence of metric projections, K-M conversence, Wijsman convergence and Kuratowski convergence are all equivalent for a sequence of Chebyshev convex sets which is dominated by a locally compact set. Our resultcompletes M. Tsukada' s in 1] and2]
Keywords:metric projections  K-M convergence  Wijsman convergence  Chebyshev set
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