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The Multidirectional Mean Value Theorem in Banach Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
Recently, F. H. Clarke and Y. Ledyaev established a multidirectional mean value theorem applicable to lower semi-continuous functions on Hilbert spaces, a result which turns out to be useful in many applications. We develop a variant of the result applicable to locally Lipschitz functions on certain Banach spaces, namely those that admit a C1-Lipschitz continuous bump function.
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- Copyright © Canadian Mathematical Society 1997
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