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Nonsmooth analysis with nonconvex generalized differentials and conjugate mappings. (Russian. English summary) Zbl 0557.49007

Summary: Some new properties of the author’s concept of generalized differentials, normals and conjugate mappings are described. These are the best from similar concepts of nonsmooth analysis with natural properties (Theorem 4). The dual criterion of covering multifunctions is obtained.

MSC:

49J50 Fréchet and Gateaux differentiability in optimization
28A15 Abstract differentiation theory, differentiation of set functions
90C30 Nonlinear programming
26E25 Set-valued functions
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