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Differentiability of single-valued type for a class of multivalued maps. (English) Zbl 0873.58009

Florenzano, Monique (ed.) et al., Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. Approximation Optimization. 8, 330-347 (1995).
Summary: The aim of this work is to develop a theory of differentiability of single-valued type for a class of functions which are compositions of a multivalued map having an acyclic decomposition followed by a single-valued function. This new theory is an important improvement of the one given by the same authors in Ann. Pol. Mat. 47, 381-402 (1987; Zbl 0663.58006), since it is more convenient while working with homotopy.
For the entire collection see [Zbl 0836.00031].

MSC:

58C06 Set-valued and function-space-valued mappings on manifolds
26E25 Set-valued functions

Citations:

Zbl 0663.58006
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