Regularity and Stability for Convex Multivalued Functions 论文

1976Mathematics of Operations Research引用 374
Optimization and Variational AnalysisAdvanced Optimization Algorithms ResearchMathematical Inequalities and Applications

摘要

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.