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| Volume 11 |
| Number 2 |
| pp. 357-368 |
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| Optimality and duality in complex minimax optimization under generalized α-invexity |
| S. K. Mishra, J. S. Rautela and R. P. Pant |
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| Abstract |
| In the present paper we extend the classes of invex functions (Mishra, Wang and Lai [14]) to generalized α-invex and related functions in context of complex space and establish the Kuhn-Tucker type sufficient optimality conditions for complex minimax programming under aforesaid conditions. Subsequently, we apply these optimality criteria to formulate two dual models. We also establish weak, strong, and strict converse duality theorems. |
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| Key words |
Mathematices Subject Classification |
| Complex minimax programming, α-invexity, duality |
26A51, 49J35, 90C46, 90C47 |
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| Copyright© 2010 Yokohama Publishers |
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