Well-posedness of constrained minimization problems via saddle-points

Journal of Global Optimization

Volumn 40, Issue 1-3, 2008, Pages 389-397

  Ricceri, Biagio ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Constrained minimization problem; Minimax; Saddle point; Well posedness

Indexed keywords

CONSTRAINED OPTIMIZATION; CONVERGENCE OF NUMERICAL METHODS; GLOBAL OPTIMIZATION; TOPOLOGY;

CONSTRAINED MINIMIZATION PROBLEM; MINIMAX; SADDLE-POINT;

PROBLEM SOLVING;

EID: 38849194163     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-007-9180-y     Document Type: Conference Paper

References (7)

1. Fedeli A. and Donne A. (2002). On good connected preimages. Topology Appl. 125: 489-496
2. Klein E. and Thompson A.C. (1984). Theory of Correspondences. John Wiley & Sons, New York
3. Ricceri B. (2006). Minimax theorems for limits of parametrized functions having at most one local minimum lying in a certain set. Topology Appl. 153: 3308-3312
4. Ricceri B. (2006). Uniqueness properties of functionals with Lipschitzian derivative. Port. Math. (N.S.) 63: 393-400
5. Ricceri B. (2006). On the existence and uniqueness of minima and maxima on spheres of the integral functional of the calculus of variations. J. Math. Anal. Appl. 324: 1282-1287
6. Ricceri B. (2006). On the well-posedness of optimization problems on spheres in 0(0,1) J. Nonlinear Convex Anal. 7: 525-528
7. 2 functional around non-critical points is well-posed. Proc. Amer. Math. Soc. 135: 2187-2191