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Some Calculus Rules for Contingent Epiderivatives
Abstract:This article presents some calculus rules for contingent epiderivatives of set-valued maps. Among other results the main emphasis is focused on a formula for scalar multiplication, sum formulae and chain rules. The calculus of contingent cones and some inversion theorems are used as a tool. Some applications are also given.
Keywords:Contingent Epiderivative  Contingent Cone  Clarke's Tangent Cone  Adjacent Cone  Derivability  Sum Formula  Chain Rule  Optimality Conditions
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