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Paraconvex functions and paraconvex sets

100%

Ngai H., Penot J.-P.

Studia Mathematica

2008

tom 184

nr 1

1-29

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. We describe some relations between such sets and functions.

Calcul différentiel dans les espaces vectoriels topologiques

60%

Penot J.-P.

Studia Mathematica

1973

tom 47

nr 1

1-23

Inversion of multifunctions and differential inclusions

50%

Nachi K., Penot J.-P.

Control and Cybernetics

2005

tom 34

nr 3

871-901

Rotundity, smoothness and duality

40%

Penot J.-P.

Control and Cybernetics

2003

tom 32

nr 4

711-733

Ograniczanie wyników

2 Control and Cybernetics

2 Studia Mathematica

4 Penot J.-P.

1 Nachi K.

1 Ngai H.

1 2008

1 2005

1 2003

1 1973

Wyniki wyszukiwania

Paraconvex functions and paraconvex sets

Calcul différentiel dans les espaces vectoriels topologiques

Inversion of multifunctions and differential inclusions

Rotundity, smoothness and duality