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- W2403019306 abstract "We establish a “preparatory Sard theorem” for smooth functions with a partially affine structure. By means of this result, we improve a previous result of Rifford [17, 19] concerning the generalized (Clarke) critical values of Lipschitz functions defined as minima of smooth functions. We also establish a nonsmooth Sard theorem for the class of Lipschitz functions from R d to R p that can be expressed as finite selections of C k functions (more generally, continuous selections over a compact countable set). This recovers readily the classical Sard theorem and extends a previous result of Barbet–Daniilidis–Dambrine [1] to the case p > 1. Applications in semi-infinite and Pareto optimization are given." @default.
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- W2403019306 date "2016-05-01" @default.
- W2403019306 modified "2023-09-24" @default.
- W2403019306 title "Sard theorems for Lipschitz functions and applications in optimization" @default.
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- W2403019306 doi "https://doi.org/10.1007/s11856-016-1308-7" @default.
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