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Browsing by Author "Stern, R. J."

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Browsing by Author "Stern, R. J."

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  • Proximal Smoothness and the Exterior Sphere Condition 
    Nour, C.; Stern, R. J.; Takche, J. (2016-03-30)
    Proximal smoothness and the exterior sphere condition are compared. It is shown via examples that these two properties are not necessarily equivalent, and geometric conditions are provided under which the equivalence holds.
  • Regularity of the state constrained minimal time function 
    Nour, C.; Stern, R. J. (2016-03-30)
    The regularity of the state constrained minimal time function is studied. We generalize [P. Wolenski, Y. Zhuang, Proximal analysis and the minimal time function, SIAM J. Control Optim. 36 (1998) 1048–1072, Theorem 6.1] in ...
  • The θ-exterior sphere condition, φ-convexity, and local semiconcavity 
    Nour, C.; Stern, R. J.; Takche, J. (2016-04-08)
    We consider sets S⊂Rn satisfying a locally uniform exterior sphere condition called the θ-exterior sphere condition . It is shown that under wedgedness of S, this coincides with the φ-convexity property studied by Colombo ...