$Second order duality for fractional programming with support functions$

Second order duality for fractional programming with support functions

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Article ID:	iaor20052324
Country:	India
Volume:	41
Issue:	2
Start Page Number:	121
End Page Number:	134
Publication Date:	Jun 2005
Journal:	OPSEARCH
Authors:	Husain I., Jabeen Z.

Abstract:

A second order dual is formulated for a fractional programming problem with support functions. Minimize (f(x)+s(xIC1))/(g(x)−s(xIC2)). Subject to hj(x) + S(x I Dj) ≤ 0, j = 1, …, m, where f, g and h are differentiable, possibly nonlinear and appropriate duality theorems are validated.

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