×

zbMATH — the first resource for mathematics

Polyhedral quasidifferentiability of real-valued functions. (Russian. English summary) Zbl 0834.49011
Summary: We introduce a notion of polyhedral quasidifferentiability for real- valued functions which is based on using piecewise linear functions as local approximations. Relationships between polyhedral quasidifferentiability and quasidifferentiability as well as approximate quasidifferentiability are considered. Necessary and sufficient conditions for a local minimum of polyhedral quasidifferentiable functions are derived.

MSC:
49J52 Nonsmooth analysis
PDF BibTeX XML Cite