Journal of Applied Mathematics
Volume 2012 (2012), Article ID 540746, 12 pages
Research Article

Duality of -Multiobjective Programming Involving Generalized Invex Functions

Research Institute of Information and System Computation Science, Beifang University of Nationalities, Yinchuan 750021, China

Received 1 March 2012; Accepted 2 October 2012

Academic Editor: Naseer Shahzad

Copyright © 2012 GuoLin Yu. 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.


In the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions. Two classes of functions, namely, -pseudoinvex and -quasi-invex, are defined for a vector function. By utilizing these two classes of functions, some dual theorems are established for conditionally proper efficient solution in -multiobjective programming problems.