Regularity and Stability for Convex Multivalued Functions

Regularity and Stability for Convex Multivalued Functions
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DOI:
10.1287/moor.1.2.130
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发表时间:
1976-05
期刊:
Math. Oper. Res.
影响因子:
--
通讯作者:
S. M. Robinson
S. M. Robinson
中科院分区:
其他
文献类型:
--
作者:
S. M. Robinson

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研究了具有凸图的多值函数在值域有内点时的正则性。这些性质被用来发展凸不等式的扰动理论,并推广了凸函数连续性的结果。
Multivalued functions with convex graphs are shown to exhibit certain desirable regularity properties when their ranges have internal points. These properties are applied to develop a perturbation theory for convex inequalities and to extend results on the continuity of convex functions.