一类拟可微向量值函数的拟微分核  

Kernelled quasidifferential of a class of quasidifferentiable vector-valued functions

作　　者：庞丽萍[1] 肖泽昊 林思达 PANG Li-ping;XIAO Ze-hao;LIN Si-da(School of Mathematical Sciences,Dalian University of Technology,Dalian,116024,China;School of Control Science and Engineering,Dalian University of Technology,Dalian,116024,China)

机构地区：[1]大连理工大学数学科学学院,辽宁大连116024 [2]大连理工大学控制科学与工程学院,辽宁大连116024

出　　处：《吉林师范大学学报（自然科学版）》2018年第4期51-54,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11501074);辽宁省博士启动基金项目(201501194)

摘　　要：针对拟可微向量值函数的拟微分具有不唯一性的问题,定义了拟可微向量值函数的拟微分核及K-可微向量值函数,分析了K-可微向量值函数的拟微分核的几何特性,给出了K-可微向量值函数的拟微分核的运算性质.The problem of quasidifferential of quasidifferentiable vector-valued function being not unique is eonsiderd. The kemelled quasidifferential of the quasidifferentiable vector-valued thnetion and the K- differentiable vector-value function are defined. The geometric properties of the kernelled quasidifferential of the K-differentiable vector-valued function are analyzed. The operational properties of the kemelled quasidifferential of the K-differentiable vector-valued thnetion are given.

关 键 词：拟可微向量值函数 拟微分核 K-可微向量值函数 Demyanov差 

分 类 号：O174[理学—数学]