Smooth variational principles with constraints

Archiv der Mathematik

Volumn 69, Issue 5, 1997, Pages 418-426

  Deville, Robert ^a   Ivanov, Milen ^b  

^a UNIVERSITÉ DE BORDEAUX   (France)

^b UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031286523     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000130050140     Document Type: Article

References (11)

1. J. M. BORWEIN and D. PREISS, A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions. Trans. Amer. Math. Soc. 303, 517-527 (1987).
2. J. M. BORWEIN and Q. J. ZHU, Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity. SIAM J. Control Optim., to appear.
3. F. H. CLARKE, Optimization and Nonsmooth Analysis. New York 1983.
4. M. G. CRANDALL, H. ISHII and P. L. LIONS, User's guide to viscosity solutions of second order fully nonlinear partial differential equations. Bull. Amer. Math. Soc. 27, 1-67 (1992).
5. M. G. CRANDALL and P. L. LIONS, Viscosity solutions of Hamilton-Jacobi equations. Trans. Amer. Math. Soc. 277, 1-42 (1983).
6. R. DEVILLE, G. GODEFROY and V. ZIZLER, Smoothness and Renormings in Banach Spaces. Pitman Monographs Surveys Pure Appl. Math. 64, Harlow 1993.
7. R. DEVILLE and E. M. EL HADDAD, The subdifferential of the sum of two functions in Banach spaces. 1. First order case, accepted in Convex Analysis.
8. M. FABIAN, Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss. Acts Univ. Carolin.-Math. Phys. 30, 51-56 (1989).
9. A. D. IOFFE, Calculus of Dini subdifferentials and contingent derivatives of set valued maps. Nonlinear Anal. 8, 517-539 (1984).
10. J. M. LASRY and P. L. LIONS, A remark on regularization in Hubert spaces. Israel J. Math. 55, 257-266 (1986).
11. B. S. MORDUKHOVICH and Y. SHAO, Fuzzy calculus for coderivatives of multifunctions. Preprint.