Patrone, Fioravante
Well-posed minimum problems for preorders
Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990) , p. 109-121
Zbl 0724.49004 | MR 1101286
URL stable : http://www.numdam.org/item?id=RSMUP_1990__84__109_0

Bibliographie

[BLu] G. Beer - L. Lucchetti, Continuity results for the epi-distance topology with applications to constrained convex optimization problems, preprint, 1989.

[CM1] E. Cavazzuti - J. Morgan, Well-posed saddle point problems, Lect. Notes in Pure and Applied Mathematics, Vol. 86, Dekker, New York, 1983. MR 716357 | Zbl 0519.49015

[CM2] E. Cavazzuti - J. Morgan, personal communication.

[ČKenR] M.M. Čoban - P.S. Kenderov - J. Revalski, Generic well-posedness of optimization problems in topological spaces, C. R. Acad. Bulg. Sci., 42, 1 (1989), pp. 11-14. MR 991452 | Zbl 0679.46019

[De] G. Debreu, Theory of Value, Wiley, New York, 1959. MR 110571 | Zbl 0193.20205

[DoZ] A. Dontchev - T. Zolezzi, book in preparation.

[FV] M. Furi - A. Vignoli, About well-posed optimization problems for functionals in metric spaces, J. Optimiz. Theory Appl., 5 (1970), pp. 225-229. MR 264482 | Zbl 0177.12904

[H] W. Hildenbrand, Core and Equilibria of a Large Economy, Princeton Univ. Press, Princeton, 1974. MR 389160 | Zbl 0351.90012

[Kel] J.L. Kelley, General Topology, Van Nostrand, Princeton, 1955. MR 70144 | Zbl 0066.16604

[KlTh] E. Klein - A.C. Thompson, Theory of Correspondences, Wiley, New York, 1984. MR 752692 | Zbl 0556.28012

[LePo] E.S. Levitin - B.T. Polijak, Constrained minimization methods, USSR Comput. Math. and Math. Phys., 6 (1968), pp. 1-50. Zbl 0184.38902

[Lul] R. Lucchetti, Some aspects of the connection between Hadamard and Tyhonov well-posedness of convex programs, Boll. Un. Mat. Ital. Anal. Funz. Appl., 1 (1982), pp. 337-344. MR 696278 | Zbl 0507.49006

[Lu2] R. Lucchetti, Hadamard and Tyhonov well-posedness in optimal control, Methods Oper. Res., 45 (1983). Zbl 0516.49019

[Lu3] R. Lucchetti, Well-posedness, towards vector optimization, Lecture Notes in Econ. and Math. Systems, Vol. 294, Springer, Berlin, 1983.

[LuPal] R. Lucchetti - F. Patrone, A characterization of Tyhonov well-posedness for minimum problems, with applications to variational inequalities, Numer. Funct. Analysis Optimiz., 3 (1981), pp. 461-476. MR 636739 | Zbl 0479.49025

[LuPa2] R. Lucchetti - F. Patrone, Hadamard and Tyhonov well-posedness of a certain class of convex functions, J. Math. Anal. Appl., 88 (1982), pp. 204-215. MR 661413 | Zbl 0487.49013

[LuPa3] R. Lucchetti - F. Patrone, Some properties of « well-posed » variational inequalities governed by linear operators, Numer. Funct. Anal. Iptimiz., 5 (1982-83), pp. 349-361. MR 703113 | Zbl 0517.49007

[M] J. Morgan, Constrained well-posed two-level optimization problems, preprint, Universitè de Montréal, Centre de Recherches Mathématiques, 1988. MR 1034067

[Pa] F. Patrone, Well-posedness as an ordinal property, Riv. Mat. Pura Appl., 1 (1987), pp. 95-104. MR 908248 | Zbl 0614.90003

[PaTo] F. Patrone - A. Torre, Characterization of existence and uniqueness for saddle point problems and related topics, Boll. Un. Mat. Ital. Anal. Funz. Appl., 5-C (1986), pp. 175-184. MR 897193 | Zbl 0645.46026

[R] J. Revalski, Variational inequalities with unique solution, in: Proc. 14th Spring Conference of the Union of Bulgarian Mathematicians, Bulg. Acad. of Sciences, Sofia (1985), pp. 534-541. MR 805390 | Zbl 0582.49009

[Ti] A.N. Tikhonov, On the stability of the functional optimization problem, USSR Comput. Math. and Math. Phys., 6 (1966), pp. 28-33. MR 198308 | Zbl 0212.23803