Abstract
AbstractRecently Chandra and Gulati established duality theorems for the nondifferentiable fractional programming problem maximize< [cTx – (xTBx)1/2 – α]/[eTx + (xTDx)1/2 + β] subject to Ax ≦ b, x≧. Here we treat the more general nonlinear fractional programming problem maximize [f(x) – (xT Bx)1/2]/[g(x) + (xT Dx)1/2] subject to h(x) ≦0, where f, g and h are differentiable, possibly nonlinear, functions. Necessary and sufficient conditions for optimality as well as appropriate duality theorems are established.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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