Fuzzy Principles and Characterization of Trustworthiness |
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Authors: | Alexander Ioffe |
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Institution: | (1) Department of Mathematics, Technion, 32000 Haifa, Israel |
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Abstract: | We show that (a) the basic principles of subdifferential calculus (various local and global fuzzy principles, multidirectional mean value theorem, extremal principle) which are shown to be equivalent for -subdifferentials are in fact equivalent for any subdifferential and (b) for -versions of -subdifferentials these principles turn out to be also equivalent to the properties of the space to be a trustworthy or a subdifferentiability space (with respect to a given subdifferential). |
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Keywords: | subdifferential fuzzy principles extremal principle multidimensional mean-value theorem subdifferentiability space trustworthy space |
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