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| Volume 7, Number 2, August 2006, pp. 269-275 | ||||||||
| Shashi K. Mishra and Norma G. Rueda | ||||||||
| Key words: | ||||||||
| minimax programming, duality, generalized convex functions | ||||||||
| Mathematices Subject Classification: 90C47, 90C46 | ||||||||
|
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| Volume 7, Number 2, August 2006, pp. 269-275 | ||||||||
| Shashi K. Mishra and Norma G. Rueda | ||||||||
| Key words: | ||||||||
| minimax programming, duality, generalized convex functions | ||||||||
| Mathematices Subject Classification: 90C47, 90C46 | ||||||||
|
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| Abstract: | |||
| A sufficient optimality theorem is proved for a certain minimax programming problem under the assumptions of proper (b,η,φ)-univex conditions on the functions involved for such a problem. A dual is defined for this problem and duality theorems relating the primal and the dual are proved. The results presented in this paper extend earlier works in the literature to a wider class of functions. | |||
| Wolfe-type duality involving univex functions for a minimax programming problem | ||