Geodesic
Regularization via Sets Satisfying the Interior Sphere Condition
Journal of convex analysis, Tome 25 (2018) no. 1, pp. 1-19
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For a given closed subset S of Rn, we provide an inner approximation of S by sets satisfying the interior sphere condition. The fact that our approximation sets satisfy the interior sphere condition with variable radius, allows us to approach any corner and to use the Pompeiu-Hausdorff convergence even if the set S is unbounded.
Mots-clés : Regularization of sets, interior sphere condition, phi-convexity, Pompeiu-Hausdorff convergence, nonsmooth analysis 
@article{JCA_2018_25_1_JCA_2018_25_1_a0,
     author = {C. Nour and H. Saoud and J. Takche},
     title = {Regularization via {Sets} {Satisfying} the {Interior} {Sphere} {Condition}},
     journal = {Journal of convex analysis},
     pages = {1--19},
     year = {2018},
     volume = {25},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_1_JCA_2018_25_1_a0/}
}
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C. Nour; H. Saoud; J. Takche. Regularization via Sets Satisfying the Interior Sphere Condition. Journal of convex analysis, Tome 25 (2018) no. 1, pp. 1-19. http://geodesic.mathdoc.fr/item/JCA_2018_25_1_JCA_2018_25_1_a0/