Duality for Fractional Min-max Problems Involving Arcwise Connected and Generalized Arcwise Connected Functions

In this paper, we introduce two duals for the fractional minmax pro gramming problem of the form: $$ \begin{gathered} Minimize Maximize_{y \in Y\frac{{f(x,y)}} {{h(x,y)}}} \hfill \\ subject to g\left( x \right) \leqq 0, \hfill \\ \end{gathered} $$ subject

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FoundingEditors: M . Beckmann H. P. Kiinzi Managing Editors: Prof. Dr. G . Fandel FachbereichWirtschaftswissenschaften FemuniversitatHagen Feithstr.140/AVZ II , 58084 Hagen,Germany Prof. Dr. W. Trockel Institutfur MathematischeWirtschaftsfor schung (IMW) UniversitatBielefeld Universitatsstr , 25, 33615 Bielefeld,Germany Co-Editors: C. D .Aliprantis,Dan Kovenock EditorialBoard: P. Bardsley,A. Basile,M .R. Baye, T. Cason, R. Deneckere, A . Drexl, G. Feichtinger , M . Florenzano,W. Giith, K. Inderfurth,M . Kaneko, P. Korhonen, W. Kiirsten, M. Li Calzi, P. K. Monteiro, Ch . Noussair,G . Philips, U . Schittko, P. Schonfeld,R . Selten, G. Sorger, R. Steuer, F. Vega-Redondo,A. P. Villamil, M. Wooders

Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo

Nicolas Hadjisavvas JuanEnriqueMartfnez-Legaz Jean-PaulPenot (Eds.)

GeneralizedConvexity and GeneralizedMonotonicity Proceedingsof the 6thInternationalS ymposium on GeneralizedConvexity/Monotonicity ,Samos, September1999

Springer

Editors Prof. N. Hadjisavvas D epartmentof Mathematics Uni versityof the Aegean 83200 Karlovassi/Samo s,Greece

Prof. J.E. Martfnez-Legaz CODE and Department of Economics UniversitatAutonomade Barcelona 08193 Bellaterra,Spain

Prof. J.-P. Penot D epartmentof Mathematics Faculty of Sciences Uni versitede Pau 64000 Pau,France

C atalo ging-in-Publicat iondata applied for Die Deutsche Bibliothek- CIP-Einheitsaufnahme Generalizedconvexity and generalized monotonicity : proceedings of the 6th Internation al Symposium on Generalized ConvexitylMonotonicity , Samos, September1999/Nicolas Hadjisavvas ... (ed.).- Berlin; Heidelberg; New York ; Barcelona; Hong Kong ; L ondon; Milan ; Paris ; Singapore; Tokyo : Springer, 200 1 (Lecture not es in economics and mathem atical systems; 502) ISBN 3-540-41806-7

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Preface

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