An introduction to quasidifferential calculus. (English) Zbl 0978.49016

Demyanov, V. (ed.) et al., Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 43, 1-31 (2000).
The paper is a substantially abridged and commented translation of the paper “Elements of quasidifferential calculus” published in 1982 in Russian [see the collection volume “Nonsmooth problems of the theory of optimization and control”, Chapter 1 (Leningrad, Izd. Leningrad. Univ.) (1982; Zbl 0547.49001)]. The paper can serve as a survey of the definitions and first results related to quasidifferentiability but does not contain results which have been obtained later, i.e., on codifferentiability, implicit function theorems, convexifications, etc.
The paper, in which all proofs have been removed, is helpful for a first acquaintance with quasidifferentiability and related topics.
For the entire collection see [Zbl 0949.00047].


49J52 Nonsmooth analysis
90C30 Nonlinear programming


Zbl 0547.49001