Binding Non-closed Convex Multivalued Mapping Measure Of Regularity

Generalized constraint equation,which includes most of the systems in opti-mization, plays an important role in mathematical programming. In terms of nor-mal cones and coderivatives, we employ variational analysis techniques to provide sufficient and necessary conditions for convex(not necessarily closed) generalized constraint equation to have the metric subregularity in normed spaces. In addition, we established some other equivalent descriptions for metric subregularity in terms of end set.