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The paper deals with an extension of the available theory of SCD (subspacecontaining derivatives) mappings to mappings between spaces of differentdimensions. This extension enables us to derive workable sufficient conditionsfor the isolated calmness of implicitly defined multifunctions around givenreference points. This stability property differs substantially from isolatedcalmness at a point and, possibly in conjunction with the Aubin property,offers a new useful stability concept. The application area includes a broadclass of parameterized generalized equations, where the respective conditionsensure a rather strong type of Lipschitztan behavior of their solution maps.

On the isolated calmness property of implicitly defined multifunctions