Lower semicontinuity of the minimum in parametric convex programs

Journal of Optimization Theory and Applications

Volumn 94, Issue 2, 1997, Pages 511-517

  Klatte, D ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

Infimum value function; Lower semicontinuity; Parametric convex programs; Semi infinite optimization

Indexed keywords

QUADRATIC PROGRAMMING;

CONVEX OPTIMISATION; CONVEX PROGRAMS; INFIMUM VALUE FUNCTION; LOWER SEMICONTINUITY; PARAMETRIC CONVEX PROGRAM; QUADRATIC PROGRAMS; SEMI-INFINITE OPTIMIZATION; VALUE FUNCTIONS;

CONVEX OPTIMIZATION;

EID: 0031503131     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022652216355     Document Type: Article

References (6)

1. BEST, M. J., and DING, B., On the Continuity of the Minimum in Parametric Quadratic Programs, Journal of Optimization Theory and Applications, Vol. 86, pp. 245-250, 1995.
2. BAZARAA, S., and SHETTY, C. M., Nonlinear Programming - Theory and Algorithms, John Wiley and Sons, New York, New York, 1979.
3. MARTIN, D. H., On the Continuity of the Maximum in Parametric Linear Programming, Journal of Optimization Theory and Applications, Vol. 17, pp. 205-210, 1975.
4. KLATTE, D., Zum Beweis von Stabilitätseigenschaften linearer parametrischer Optimierungsaufgaben mit variabler Koeffizientenmatrix, Abstracts der Jahrestagung Mathematische Optimierung, Humboldt-Universität Berlin, Berlin, Germany, pp. 215-219, 1979.
5. BANK, B., GUDDAT, J., KLATTE, D., KUMMER, B., and TAMMER, K., Nonlinear Parametric Optimization, Akademie Verlag, Berlin, Germany, 1982.
6. ROCKAFELLAR, R. T., Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970.