摘要
For a general normed vector space,a special optimal value function called a maximal time function is considered.This covers the farthest distance function as a special case,and has a close relationship with the smallest enclosing ball problem.Some properties of the maximal time function are proven,including the convexity,the lower semicontinuity,and the exact characterizations of its subdifferential formulas.
作者
Ziyi ZHOU
Yi JIANG
周子意;蒋毅(School of Mathematical Sciences,Visual Computing and Virtual Reality Key Laboratory,Sichuan Normal University,Chengdu,610066,China)
基金
supported by the National Natural Science Foundation of China(11201324)
the Fok Ying Tuny Education Foundation(141114)
the Sichuan Technology Program(2022ZYD0011,2022NFSC1852).
