G-Semidifferentiability in Euclidean Spaces

M. Pappalardo and A. Uderzo
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M. Pappalardo: University of Pisa
A. Uderzo: University of St. Petersburg

Journal of Optimization Theory and Applications, 1999, vol. 101, issue 1, No 13, 229 pages

Abstract: Abstract To unify the increasing number of generalized derivatives in the recent literature, a general concept of differentiability, embracing several classical cases, has been proposed in Ref. 1. Proceeding in this vein, the present note is devoted to deepening the study of the properties of this general approach and to point out, as much as possible, the connections with the Dini–Hadamard derivatives. The results obtained in this sense lay the groundwork for a future comparison among several different optimality conditions for constrained extremum problems.

Keywords: Generalized derivatives; G-semidifferentiability; nonsmooth optimization; Dini–Hadamard derivatives (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021735430774

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