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Duality in Fractional Programming Involving Locally Arcwise Connected and Related Functions

Author

Listed:
  • 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.)

  • Emilio Cerdá

    (Department of Foundations of Economic Analysis. University Complutense of Madrid. Spain.)

  • M.M. Muñoz

    (Department of Applied Economics (Mathematics). University of Málaga. Spain.)

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.

Suggested Citation

  • I.M. Stancu-Minasian & R. Caballero & Emilio Cerdá & M.M. Muñoz, 2002. "Duality in Fractional Programming Involving Locally Arcwise Connected and Related Functions," Documentos de Trabajo del ICAE 0205, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    • Handle: RePEc:ucm:doicae:0205
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