A topological minimax theorem

Journal of Optimization Theory and Applications

Volumn 113, Issue 3, 2002, Pages 513-536

  Greco, G H ^a   Horvath, C D ^b  

^a UNIVERSITY OF TRENTO   (Italy)

^b UNIVERSITÉ DE PERPIGNAN   (France)

Author keywords

interconnected pairs of multifunctions; lower connected functions; lower interconnected functions; Minimax theorems, connectedness; PP functions; topologically concave pairs of multifunctions; upper connected functions

Indexed keywords

TOPOLOGY;

INTERCONNECTED PAIR OF MULTIFUNCTION; LOW CONNECTED FUNCTION; LOW INTERCONNECTED FUNCTION; MINIMAX THEOREM; MINIMAX THEOREM, CONNECTEDNESS; MULTI-FUNCTIONS; PP FUNCTION; TOPOLOGICALLY CONCAVE PAIR OF MULTIFUNCTION; UPPER CONNECTED FUNCTION;

VECTOR SPACES;

EID: 0036099271     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015308820980     Document Type: Article

References (8)

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2. GRECO, G. H., and HORVATH, C. D., Topological Versions of Passy-Prisman's Minimax Theorem, Optimization, Vol. 47, pp. 155-166, 2000.
3. KÖNIG, H., The Topological Minimax Theorem, Séminaire Initiation à l'Analyse (G. Choquet, G. Godefroy, M. Rogalski, J. Saint Raymond), 1994/95.
4. GRECO, G. H., and HORVATH, C. D., Toward a Geometric Theory of Minimax Equalities, Optimization, Vol. 47, pp. 166-188, 2000.
5. PASSY, U., and PRISMAN, E. Z., A Duality Approach to Minimax Results for Quasisaddle Functions in Finite Dimensions, Mathematical Programming, Vol. 55, pp. 81-98, 1992.
6. GRECO, G. H., Minimax Theorems and Saddling Transformations, Journal of Mathematical Analysis and Applications, Vol. 147, pp. 180-197, 1990.
7. STACHÓ, L. L., Minimax Theorems beyond Topological Vector Spaces, Acta Scientiarum Mathematicarum, Vol. 42, pp. 157-164, 1980.
8. KÖNIG, H., A General Minimax Theorem Based on Connectedness, Archiv der Mathematik, Vol. 59, pp. 55-64, 1992.