论文信息 - Epi-lipschitz-like sets in banach space: theorems and examples - 字舞流文

Epi-lipschitz-like sets in banach space: theorems and examples

On considere un espace de Banach X et on etudie quelles proprietes un ensemble C dans X doit avoir pour que le cone tangent de Clarke T c (x) et le cone normal N c (x) mesurent adequatement le comportement a la frontiere de x dans C

Jonathan M. Borwein

[1] Jonathan M. Borwein,et al. Nonsmooth calculus in finite dimensions , 1987 .

[2] Richard B. Vinter,et al. A maximum principle for nonsmooth optimal-control problems with state constraints , 1982 .

[3] R. Rockafellar. Extensions of subgradient calculus with applications to optimization , 1985 .

[4] Jonathan M. Borwein,et al. Directionally Lipschitzian Mappings on Baire Spaces , 1984, Canadian Journal of Mathematics.

[5] J. M. Borwein,et al. Proximal Analysis and Boundaries of Closed Sets in Banach Space. Part II: Applications , 1987, Canadian Journal of Mathematics.

[6] Jay S. Treiman. Characterization of Clarke's tangent and normal cones in finite and infinite dimensions , 1983 .

[7] J. Borwein,et al. On supportless convex sets , 1985 .

[8] Jean-Paul Penot. A characterization of tangential regularity , 1981 .

[9] Jonathan M. Borwein,et al. Proximal analysis and boundaries of closed sets in Banach space, Part I: theory , 1986 .

[10] R. Rockafellar. Generalized Directional Derivatives and Subgradients of Nonconvex Functions , 1980, Canadian Journal of Mathematics.

[11] R. Rockafellar. Directionally Lipschitzian Functions and Subdifferential Calculus , 1979 .

[12] J. Aubin,et al. Applied Nonlinear Analysis , 1984 .

[13] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .