广义扰动映射的上导数

On Coderivatives of the Generalized Perturbation Maps

主要讨论了两集值映射和的上导数.在比标准约束品性弱的条件下得到了两个集值映射和的上导数与两集值映射上导数的和之间的包含关系,并将此结论用于讨论广义扰动映射的上导数,得到广义扰动映射的上导数的上界估计.

The coderivatives of the sums of two set-valued maps are discussed. Under some mild conditions which are weaker than the normal constraint qualification, the inclusion relations between coderivatives of the sum for two set-valued maps and the sum of coderivatives of two setvalued maps are obtained. By using the calculus rules, the upper estimate for coderivatives of generalized perturbation maps are obtaind.