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This article is cited in 368 scientific papers (total in 368 papers)
Metric regularity and subdifferential calculus
A. D. Ioffe Technion – Israel Institute of Technology
Abstract:
The theory of metric regularity is an extension of two classical results: the Lyusternik tangent space theorem and the Graves surjection theorem. Developments in non-smooth analysis in the 1980s and 1990s paved the way for a number of far-reaching extensions of these results. It was also well understood that the phenomena behind the results are of metric origin, not connected with any linear structure. At the same time it became clear that some basic hypotheses of the subdifferential calculus are closely connected with the metric regularity of certain set-valued maps. The survey is devoted to the metric theory of metric regularity and its connection with subdifferential calculus in Banach spaces.
Received: 26.01.2000
Citation:
A. D. Ioffe, “Metric regularity and subdifferential calculus”, Russian Math. Surveys, 55:3 (2000), 501–558
Linking options:
https://www.mathnet.ru/eng/rm292https://doi.org/10.1070/rm2000v055n03ABEH000292 https://www.mathnet.ru/eng/rm/v55/i3/p103
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Abstract page: | 2397 | Russian version PDF: | 728 | English version PDF: | 54 | References: | 167 | First page: | 2 |
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