Topological and Differential Properties of Multivalued Mappings
In this chapter topological notions such as uniformly boundedness, upper and lower semicontinuity and continuity, Lipschitz and pseudo-Lipschitz continuity of mappings and their marginal functions are dealt with. The interrelations between them are established. In the second part of this chapter different concepts and properties of differentiability and approximation of multivalued maps are considered. A description of derivatives of mappings in terms of the distance function is given.
KeywordsNeighbourhood Versus Multivalued Mapping Tangent Cone Lipschitz Continuity Uniform Boundedness
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