VARIATIONAL ANALYSIS FOR THE MAXIMAL TIME FUNCTION IN NORMED SPACES  

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)

机构地区：[1]School of Mathematical Sciences,Visual Computing and Virtual Reality Key Laboratory,Sichuan Normal University,Chengdu,610066,China

出　　处：《Acta Mathematica Scientia》2024年第5期1696-1706,共11页数学物理学报（B辑英文版）

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).

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.

关 键 词：maximal time function SUBDIFFERENTIAL normal cone nonsmooth analysis 

分 类 号：O177[理学—数学]