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| Volume 7, Number 2, August 2006, pp. 277-288 | |||||||||
| Pankaj Gupta, Aparna Mehra, Shunsuke Shiraishi and Kazunori Yokoyama | |||||||||
| Key words: | |||||||||
| minimax programming, generalized fractional programming, ε-Optimal solution, ε-Subdifferential, ε-Parametric approach | |||||||||
| Mathematices Subject Classification: 49K35, 90C46, 90C32. | |||||||||
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| Abstract: | |||
| In this paper, we establish Karush-Kuhn-Tucker (for short, we call KKT) type necessary and sufficient optimality conditions for an ε-optimal solution of a nondifferentiable general minimax programming problem. These optimality conditions are then utilized to derive ε-optimality conditions for a generalized fractional programming problem with nondifferentiable convex inequality constraints, linear equality constraints and abstract constraints, by employing ε-parametric technique. | |||
| ε-optimality for minimax programming problems | |||