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Duality in Fractional Programming Involving Locally Arcwise Connected and Related Functions

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Author Info
I.M. Stancu-Minasian (Center for Mathematical Statistics of the Romanian Academy.Bucharest, Romania.)
R. Caballero (Department of Applied Economics (Mathematics). University of Málaga. Spain.)
E. Cerdá (Department of Foundations of Economic Analysis. University Complutense of Madrid. Spain.)
M.M. Muñoz (Department of Applied Economics (Mathematics). University of Málaga. Spain.)

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Abstract

A nonlinear fractional programming problem is considered, where the functions involved are di®erentiable with respect to an arc.Necessary and su±cient optimality conditions are obtained in terms of the right di®erentials with respect to an arc of the functions. A dual is formulated and duality results are proved using concepts of locally arcwise connected, locally Q-connected and locally P-connected functions .Our results generalize the results obtained by Lyall, Suneja and Aggarwal [9], Kaul and Lyall [6] and Kaul et.al .[7]

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Paper provided by Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales in its series Documentos del Instituto Complutense de Análisis Económico with number 0205.

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Date of creation: 2002
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Handle: RePEc:ucm:doicae:0205

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