Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10107-005-0629-9
Title: Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization
Authors: Meng, F.
Sun, D. 
Zhao, G. 
Keywords: Generalized Equations
Moreau-Yosida Regularization
Semismooth
Issue Date: Nov-2005
Citation: Meng, F., Sun, D., Zhao, G. (2005-11). Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization. Mathematical Programming 104 (2-3) : 561-581. ScholarBank@NUS Repository. https://doi.org/10.1007/s10107-005-0629-9
Abstract: We show that a locally Lipschitz homeomorphism function is semismooth at a given point if and only if its inverse function is semismooth at its image point. We present a sufficient condition for the semismoothness of solutions to generalized equations over cone reducible (nonpolyhedral) convex sets. We prove that the semismoothness of solutions to the Moreau-Yosida regularization of a lower semicontinuous proper convex function is implied by the semismoothness of the metric projector over the epigraph of the convex function. © Springer-Verlag 2005.
Source Title: Mathematical Programming
URI: http://scholarbank.nus.edu.sg/handle/10635/104094
ISSN: 00255610
DOI: 10.1007/s10107-005-0629-9
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