Compact subdifferentials: the formula of finite increments and related topics

The general properties of compact subdifferentials ( K -subdifferentials) for mappings of a segment to a locally convex space are studied. Different forms of the general theorem of finite increments and the mean value theorem for compact subdifferentials are considered in detail with closed and open...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2010-10, Vol.170 (2), p.251-269
Hauptverfasser: Orlov, I. V., Stonyakin, F. S.
Format: Artikel
Sprache:eng
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Zusammenfassung:The general properties of compact subdifferentials ( K -subdifferentials) for mappings of a segment to a locally convex space are studied. Different forms of the general theorem of finite increments and the mean value theorem for compact subdifferentials are considered in detail with closed and open estimates.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-010-0083-y