摘要
针对一类有约束的抽象锥不等式,研究其可行解集的全局误差界.利用集合的法锥、切锥以及凸函数的次微分和方向导数给出了全局误差界的几个等价条件.
Global error bounds for the solution set of an abstract conic inequality are studied. Several equivalent characterizations for global error bounds of this inequality are obtained by using the normal cone and the tangent cone of the feasible solution set and Gateaux derivative of operators.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2007年第4期539-542,共4页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(10471032)
教育部优秀青年教师资助计划项目
关键词
全局误差界
抽象锥不等式
次微分
GATEAUX可微
global error bounds
abstract conic inequality
subdifferential
Gateaux differentiable
