On Generalised \textit{f}-Projection Operator Over Nonconvex Set
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6846Keywords:
generalized f -projection,, Lipschtz continuityAbstract
This work examines the generalized $f$-projection operators \( \pi^f_S \). By proving the local Lipschtz continuity of the generalized projection operator $\pi_{S}^f$ for $S$ nonempty closed sets are not necessarily convex. Also, using convex subdifferential \( \partial^{\text{con}} f \), the Fréchet subdifferential \( \partial^{F} f(x) \), and the Clarke subdifferential we extend many properties of $\pi_S$ to $\pi_S^f$.
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