Generalized semi-infinite programming: theory and methods

European Journal of Operational Research

Volumn 119, Issue 2, 1999, Pages 301-313

  Still, G ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CHEBYSHEV APPROXIMATION; FUNCTIONS; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; SET THEORY; THEOREM PROVING; VECTORS;

GENERALIZED SEMI INFINITE PROGRAMMING; OPTIMALLY CONDITIONS; REDUCTION ANSATZ; SEMI INFINITE PROBLEMS;

OPTIMIZATION;

EID: 0033308857     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(99)00132-0     Document Type: Article

References (14)

1. Coope I.D., Price C.J. Computational numerical experiments in semi-infinite programming. Comput. Optimiz. Appl. 6:1996;169-189.
2. S. Görner, R. Reemtsen, Numerical methods for semi-infinite programming: A survey, in: Reemtsen, Rückmann (Eds.), Semi-infinite Programming, Kluwer, Boston, 1998.
3. Guddat J., Jongen H.T., Rückmann J. On stability and stationary points in nonlinear optimization. J. Australian Math. Soc. Ser. B. 28:1986;36-56.
4. R. Hettich, P. Zencke, Numerische Methoden der Approximation und der semi-infiniten Optimierung, Teubner, Stuttgart, 1982.
5. R. Hettich, G. Still, Semi-infinite programming models in Robotics, in: Guddat et al. (Eds.), Parametric Optimization and Related Topics II, Akademie Verlag, Berlin, 1991.
6. Hettich R., Kortanek K. Semi-infinite programming: Theory, methods and applications. SIAM Rev. 35(3):1993;380-429.
7. Hettich R., Still G. Second order optimality conditions for generalized semi-infinite programming problems. Optimization. 34:1995;195-211.
8. A. Hoffmann, R. Reinhardt, On reverse Chebyshev approximation problems, Preprint No. M08/94, Technical University of Illmenau, 1994.
9. H. Th Jongen, J.-J. Rückmann, O. Stein, Generalized semi-infinite optimization: A first order optimality condition and examples, Mathematical Programming, 83 (1998) 145-158.
10. Th Jongen H., Rückmann J.-J., Stein O. Disjunctive optimization: Critical point theory. J. Optim. Theory Appl. 93(2):1997;321-336.
11. A. Kaplan, R. Tichatschke, On a class of terminal variational problems, in: Guddat et al. (Eds.), Parametric Optimization and Related Topics IV, Peter Lang Verlag, Frankfurt a.M., 1997.
12. E. Levitin, R. Tichatschke, A branch and bound approach for solving a class of generalized semi-infinite programming problems, Journal of Global Optimization 13 (1998) 299-315.
13. R.T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
14. W. Weber, Generalized semi-infinite optimization: On some foundations, Preprint, University of Darmstadt, 1996.