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Compact subdifferentials: the formula of finite increments and related topics

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Abstract

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.

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Authors and Affiliations

  1. Taurida National V. I. Vernadsky University, Simferopol, Ukraine

    I. V. Orlov & F. S. Stonyakin

Authors
  1. I. V. Orlov
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  2. F. S. Stonyakin
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Correspondence to I. V. Orlov.

Additional information

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 34, Proceedings of KROMSH, 2009.

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Orlov, I.V., Stonyakin, F.S. Compact subdifferentials: the formula of finite increments and related topics. J Math Sci 170, 251–269 (2010). https://doi.org/10.1007/s10958-010-0083-y

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  • DOI: https://doi.org/10.1007/s10958-010-0083-y

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