GLOBAL ERROR BOUNDS WITH EXPONENTS FOR MULTIFUNCTIONS WITH SET CONSTRAINTS
GLOBAL ERROR BOUNDS WITH EXPONENTS FOR MULTIFUNCTIONS WITH SET CONSTRAINTS
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DOI：
10.1142/s0219199710003865
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发表时间：
2010-06
影响因子：
1.6
通讯作者：
Hui Huang
中科院分区：
文献类型：
--
作者：
Hui Huang
本文引入了高阶强凸图多重函数。利用正则锥，我们给出了高阶强凸图多重函数的一些刻画。此外，利用余导数，我们在Banach空间中给出了具有集合约束的多项式函数具有指数整体误差界的充分条件。
In this paper, higher order strongly convex-graph multifunctions are introduced. Using the normal cones, we give some characterizations for higher order strongly convex-graph multifunctions. Moreover, in terms of the coderivatives, we present some sufficient conditions for multifunctions with set constraints to have global error bounds with exponents in Banach spaces.