On the symmetry of Dini derivates of arbitrary functions
Luděk Zajíček (1981)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “On relations among metric derived numbers”
On the symmetry of Dini derivates of arbitrary functions
Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation
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We prove metric differentiation for differentiability spaces in the sense of Cheeger [10, 14, 27]. As corollarieswe give a new proof of one of the main results of [14], a proof that the Lip-lip constant of any Lip-lip space in the sense of Keith [27] is equal to 1, and new nonembeddability results.
On -porous sets in abstract spaces.
Zajíček, L. (2005)
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A generalized -porous set with a small complement.
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Metric subregularity of order q and the solving of inclusions
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We consider some metric regularity properties of order q for set-valued mappings and we establish several characterizations of these concepts in terms of Hölder-like properties of the inverses of the mappings considered. In addition, we show that even if these properties are weaker than the classical notions of regularity for set-valued maps, they allow us to solve variational inclusions under mild assumptions.
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