Quasidifferentials and maximal normal operators |
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| Authors: | Liqun Qi |
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| Affiliation: | (1) Department of Industrial Engineering, University of Wisconsin-Madison, 53706 Madison, WI, USA;(2) Present address: School of Mathematics, University of New South Wales, P.O. Box 1, 2033 Kensington, N.S.W., Australia |
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| Abstract: | Quasidifferentials are studied with the theory of maximal normal operators. The quasidifferential of a normally quasidifferentiable function is a pair of upper and lower semicontinuous operators, which are special maximal normal operators. The function sum of the upper and lower semicontinuous operators is the Clarke subdifferential of this function. Basic calculus and minimal forms of quasidifferentials are also discussed. |
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| Keywords: | Subdifferential quasidifferential semicontinuous operator maximal normal operator |
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