The Equivalence Of Several Basic Theorems For Subdifferentials

Document Type

Article

Publication Date

6-1998

Abstract

Several different basic properties are used for developing a system of calculus for subdifferentials. They are a nonlocal fuzzy sum rule, a multidirectional mean value theorem, local fuzzy sum rules and an extremal principle. We show that all these basic results are equivalent and discuss some interesting consequences of this equivalence.

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