Advances in Operations Research
Volume 2012 (2012), Article ID 279215, 13 pages
http://dx.doi.org/10.1155/2012/279215
Research Article

Generalized ( 𝑑 - 𝜌 - 𝜂 - 𝜃 ) -Type I Univex Functions in Multiobjective Optimization

Pallavi Kharbanda,1 Divya Agarwal,2 and Deepa Sinha3

1Department of Mathematics, Dronacharya Government College (DGC), New Railway Road, Gurgaon 122001, India
2Department of Applied Sciences and Humanities, ITM University, Gurgaon 122017, India
3Centre for Mathematical Sciences, Banasthali University, Rajasthan 304022, India

Received 13 March 2012; Revised 5 June 2012; Accepted 11 June 2012

Academic Editor: J. J. Judice

Copyright © 2012 Pallavi Kharbanda et al. 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

A new class of generalized functions ( 𝑑 - 𝜌 - 𝜂 - 𝜃 ) -type I univex is introduced for a nonsmooth multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established. Weak, strong, converse, and strict converse duality theorems are also derived for Mond-Weir-type multiobjective dual program.