【摘要】 本文给出了度量投影有连续选择的一个充要条件,指出了存在连续度量选择的必要条件为存在弱半线性连续选择,在几乎Chebyshev空间的情形,证明了连续选择必为半线性的。更多还原

【Abstract】 In this paper we give a sufficient and necessary condition for those metricprojections which admit a continuous selection.We obtain that under certaincondition a metric projection must have a weak semilinear continuous selectionwhen it admits a continuous selection.In the case of Chebyshev space,we provethat continuous selection must be a semilinear one.更多还原