Duality in Fractional Programming Involving Locally Arcwise Connected and Related Functions

I.M. Stancu-Minasian, Ricardo Caballero (), Emilio Cerdá and M.M. Muñoz
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I.M. Stancu-Minasian: Center for Mathematical Statistics of the Romanian Academy.Bucharest, Romania.
M.M. Muñoz: Department of Applied Economics (Mathematics). University of Málaga. Spain.

Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico

Abstract: A nonlinear fractional programming problem is considered, where the functions involved are diferentiable with respect to an arc.Necessary and su±cient optimality conditions are obtained in terms of the right diferentials 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, Kaul and Lyall and Kaul et.al.

Keywords: Generalized convexity; Fractional programming; Optimality conditions, Duality (search for similar items in EconPapers)
Pages: 20 pages
Date: 2002
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