A Non-Convex Analogue to Fenchel Duality

Journal of Functional Analysis

Volumn 181, Issue 2, 2001, Pages 300-312

  Bachir, Mohammed ^a  

^a UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039191728     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3701     Document Type: Article

References (11)

1. Bachir M. Dualité, calcul sous différentiel et intégration en analyse non lisse et non convexe. 2000;Université Bordeaux I.
2. Bachir M. Sur la différentiabilité générique et le théorème de Banach-Stone. C.R. Acad. Sci. Paris. 330:2000;687-690.
3. Čoban M. M., Kenderov P. S. Dense Gâteaux differentiability of the sup-norm in C(T) and the topological properties of T. C. R. Acad. Bulg. Sci. 38:1985;1603-1604.
4. M. M. Čoban and P. S. Kenderov, Generic Gâteaux differentiability of convex functionals in C(T) and the topological properties of T, in Mathematics and Education in Mathematicians, Sunny Beach, April, 1985, pp. 141-149.
5. Čoban M. M., Kenderov P. S., Revalski J. P. Generic well-posedness of optimization problems in topological spaces. Mathematika. 36:1989;301-324.
6. Collier J. B. The dual of a space with the Radon-Nikodym Property. Pacific J. Math. 64:1976;103-106.
7. Deville R., Godefroy G., Zizler V. Smoothness and Renormings in Banach Spaces. Pitman Monographs in Mathematics. 64:1993;Longman Scientific and Technical, Harlow/New York.
8. Deville R., Godefroy G., Zizler V. A smooth variational principle with applications to Hamiltonian-Jacobi equations in infinite dimensions. J. Funct. Anal. 111:1993;197-212.
9. N. Ghoussoub, Duality and Perturbation Methods in Critical Point Theory, Cambridge Tracts in Mathematics, Vol, 64, Cambridge Univ. Press, Cambridge, UK.
10. J. P. Penot, What is quasiconvex analysis?, Optimization, to appear.
11. M. Volle, Duality for the level sum of quasiconvex functions and applications, in ESAIM: Control Optimization and Calculus of variations, 1998, pp. 329-343.