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Optimality and Duality for Complex Nondifferentiable Fractional Programming
Authors:Jen-Chwan Liu  Chin-Cheng Lin  Ruey-Lin Sheu
Institution:aSection of Mathematics, National Overseas Chinese Student University, Preparatory School, P.O. Box 1-1337, Linkou, Taiwan, 24499, Republic of China;bDepartment of Mathematics, National Central University, Chung-li, Taiwan, 32054, Republic of China;cDepartment of Mathematics, National Cheng-Kung University, Tainan, Taiwan, 70101, Republic of China
Abstract:Both parametric and nonparametric necessary and sufficient optimality conditions are established for a class of complex nondifferentiable fractional programming problems containing generalized convex functions. Subsequently, these optimality criteria are utilized as a basis for constructing one parametric and two other parameter-free dual models with appropriate duality theorems.
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