高师理科学刊
高師理科學刊
고사이과학간
JOURNAL OF SCIENCE OF TEACHERS＇ COLLEGE AND UNIVERSITY
2014年
1期
20-23
,共4页
抽象锥不等式%局部误差界%次微分%Gateaux可微
抽象錐不等式%跼部誤差界%次微分%Gateaux可微
추상추불등식%국부오차계%차미분%Gateaux가미
abstract conic inequality%local error bounds%subdifferential%Gateaux differentiable
研究Banach空间中有约束的抽象锥不等式，利用集合的法锥、切锥以及算子的Gateaux导数，给出其可行解集的局部误差界成立的几个等价条件。
研究Banach空間中有約束的抽象錐不等式，利用集閤的法錐、切錐以及算子的Gateaux導數，給齣其可行解集的跼部誤差界成立的幾箇等價條件。
연구Banach공간중유약속적추상추불등식，이용집합적법추、절추이급산자적Gateaux도수，급출기가행해집적국부오차계성립적궤개등개조건。
Mainly researched constrained abstract conic inequalities in Banach spaces,obtained several equivalent conditions of local error bounds for the solution set by using of the normal cone and the tangent cone of the set and Gateaux derivative of operators.
