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|Title:||Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization|
|Source:||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|
|Appears in Collections:||Staff Publications|
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