Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 931590, 6 pages
doi:10.1155/2010/931590
Research Article

Further Study on Strong Lagrangian Duality Property for Invex Programs via Penalty Functions

J. Zhang1 and X. X. Huang2

1School of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2School of Economics and Business Administration, Chongqing University, Chongqing 400030, China

Received 5 February 2010; Revised 23 June 2010; Accepted 30 June 2010

Academic Editor: Kok Teo

Copyright © 2010 J. Zhang and X. X. Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We apply the quadratic penalization technique to derive strong Lagrangian duality property for an inequality constrained invex program. Our results extend and improve the corresponding results in the literature.