New concepts in nondifferentiable programming
J-B. Hiriart-Urruty (1979)
Mémoires de la Société Mathématique de France
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New concepts in nondifferentiable programming
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We study a class of functions which contains both convex functions and differentiable functions whose derivatives are locally Lipschitzian or Hölderian. This class is a subclass of the class of approximately convex functions. It enjoys refined properties. We also introduce a class of sets whose associated distance functions are of that type. We discuss the properties of the metric projections on such sets under some assumptions on the geometry of the Banach spaces in which they are embedded....