# American Institute of Mathematical Sciences

January  2005, 1(1): 33-38. doi: 10.3934/jimo.2005.1.33

## On the absence of duality gap for Lagrange-type functions

 1 Engenharia de Sistemas e Computacao/COPPE, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil 2 School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, Australia

Received  July 2004 Revised  December 2004 Published  January 2005

Given a generic dual program we discuss the absence of duality gap for a family of Lagrange-type functions. We obtain necessary conditions that become sufficient ones under some additional assumptions. We also give examples of Lagrange-type functions for which this sufficient conditions hold.
Citation: Regina Sandra Burachik, Alex Rubinov. On the absence of duality gap for Lagrange-type functions. Journal of Industrial and Management Optimization, 2005, 1 (1) : 33-38. doi: 10.3934/jimo.2005.1.33
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