Journal of Applied Mathematics and Stochastic Analysis 
Volume 2005 (2005), Issue 2, Pages 175-180
doi:10.1155/JAMSA.2005.175

Multiobjective duality with ρ(η,θ)-invexity

C. Nahak1 and S. Nanda1,2

1Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
2North Orissa University , Baripada, Orissa, India

Received 20 May 2004; Revised 28 July 2004

Abstract

Under ρ(η,θ)-invexity assumptions on the functions involved, weak, strong, and converse duality theorems are proved to relate properly efficient solutions of the primal and dual problems for a multiobjective programming problem.