Adaptive filter theory (3rd ed.)
Adaptive filter theory (3rd ed.)
Optimality conditions and duality for a class of nonlinear fractional programming proglems
Journal of Optimization Theory and Applications
On duality theorems for a nondifferentiable minimax fractional programming
Journal of Computational and Applied Mathematics - Special issue: Papers presented at the 1st Sino--Japan optimization meeting, 26-28 October 2000, Hong Kong, China
Complex minimax programming under generalized convexity
Journal of Computational and Applied Mathematics
Second order duality for nondifferentiable minimax programming problems with generalized convexity
Journal of Global Optimization
Complex minimax programming under generalized type-I functions
Computers & Mathematics with Applications
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The purpose of this paper is to study a duality programming problem for a complex nondifferentiable minimax fractional programming with complex variables. The necessary and sufficient optimality conditions are established by Lai and Huang (J Math Anal Appl 359:229---239, 2009). Employing the optimality conditions, we can constitute a parametric dual model problem. Moreover, we establish the duality theorem and prove that optimal values of the duality problem as well as the primary problem are equal under some reasonable assumptions. That is, there are no duality gap between the primary problem and its duality problem.