On Metric Subregularity For Convex Constraint Systems By Primal Equivalent Conditions

In this thesis,we mainly study metric subregularity.Most of the existing litera-ture about the metric subregularity,mainly through the normal cone of the solution set and the coderavative of the set-valued mapping to establish the dual conditions for its establishment.In this paper,we mainly study metric subregularity of a convex constraint system by contigent cones and contingent deravatives,and thus we get several primal conditions for metric subregularity in contigent cones’ form.Finally,we provide some equivalent qualifications for strong metric subregularity of convex constraint system.