A convergence theory for saddle functions

Transactions of the American Mathematical Society

Volumn 280, Issue 1, 1983, Pages 1-41

  Attouch, Hedy ^a   Wets, Roger J B ^b  

^a Mathématiques ^*  (France)

^b UNIVERSITY OF KENTUCKY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968468130     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-1983-0712247-X     Document Type: Article

References (14)

1. H. Attouch, Families d'opérateurs maximaux monotones et mesurabilité, Ann. Mat. Pura Appl. 120 (1979), 35-111.
2. H. Attouch and R. Wets, Approximation and convergence in nonlinear optimization, Nonlinear Programming, vol. 4 (O. Mangasarian, R. Meyer and S. Robinson, eds.), Academic Press, New York, 1981.
3. H. Attouch and R. Wets, Convergence of convex-concave saddle functions (in preparation).
4. E. Cavazzuti, T-convergenze multiple, convergenza di punti di sella e di max-min, Boll. Un. Mat. Ital. (to appear).
5. E. De Giorgi, Convergence problems for functionals and operators, Recent Methods in Nonlinear Analysis, Pitagora Editrice, Bologna, 1979, pp. 131-138.
6. E. De Giorgi, G. Dal Masso and P. Longo, T-limiti di ostacoli, Atti Acad. Naz. Lincei Rend. Cl. Sei. Fis. Mat. Natur, (to appear).
7. S. Dolecki, G. Salinetti and R. Wets, Convergence of functions: Equi-semicontinuity, Trans. Amer. Math. Soc. 276 (1983), 409-429.
8. C. Kuratowski, Topologie. I, PWN, Warsaw, 1958.
9. U. Mosco, Convergence of convex sets and solutions of variational inequalities, Adv. in Math. 3 (1969), 510-585.
10. R. T. Rockafellar, Minimax theorems and conjugate saddle functions, Math. Scand. 14 (1964), 151-173.
11. G. Salinetti and R. Wets, On the convergence of closed sets, Topology Proc. 4 (1979), 149-158.
12. Y. Sonntag, Convergence au sens de U. Mosco. Meilleure approximation, applications de dualité, Exposé multigraphié, Sém Math. Appl., Univ. de Provence, 1980.
13. R. Wets, Convergence of convex functions, variational inequalities and convex optimization problems, Variational Inequalities and Complementarity Problems (R. Cottle, F. Gianessi and J.-L. Lions, eds.), Wiley, London, 1980, pp. 375-403.
14. T. Zolezzi, Variational stability and well-posedness in the optimal control of ordinary differential equations, Technical Report, Universita di Genova, 1981.