Calmness for Closed Multifunctions over Constraint Sets in Banach Spaces

  •  Liyun Huang    
  •  Zhou Wei    


In this paper, we mainly study calmness and strong calmness of closed multifunctions over constraint sets in Banach spaces. In terms of tangent cones, normal cones and coderivatives, we provide some dual necessary/sufficient conditions ensuring calmness over constraint sets. In particular we proved a dual characterization for strong calmness of a closed multifunction over constraint closed sets with mild assumptions.

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