ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS
ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS
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DOI：
10.1081/nfa-120006696
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发表时间：
2002-01
影响因子：
1.2
通讯作者：
Chong Li;Hong-Kun Xu
中科院分区：
文献类型：
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作者：
Chong Li;Hong-Kun Xu
设G是一个非空闭函数。取强凸Banach空间X中的有界闭子集，设X的所有具有Hausdorff距离的非空有界闭子集的空间，并表示该集合的闭集。我们证明了e0 (G) (p。E o (G))，所有（resp.）的集合，使得最小化（resp.）最大化)问题min(A， G) （resp.）是适定的，是（resp.）中的残差。．
ABSTRACT Let G be a nonempty closed (resp. bounded closed) subset in a strongly convex Banach space X. Let denote the space of all nonempty bounded closed subsets of X endowed with the Hausdorff distance and let denote the closure of the set . We prove that E o (G) (resp. E o (G)), the set of all (resp. ) such that the minimization (resp. maximization) problem min(A, G) (resp. ) is well-posed, is residual in (resp. ).