Indian Journal of Industrial and Applied Mathematics
  • Year: 2012
  • Volume: 3
  • Issue: 1

Duality in Non-smooth Multi-objective Programming Involving η-Pseudolinear Functions

  • Author:
  • S.K. Misbra1,, B. B. Upadbyay1,
  • Total Page Count: 10
  • Published Online: Jun 1, 2012
  • Page Number: 152 to 161

1Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India

*Emails:bhu.skmishra@gmail.com.bhooshanbhu@gmail.com

**Author for Correspondence. E-mail: bhu.skmishra@gmail.com

Abstract

Abstract: In this paper, we have obtained duality results for a non-smooth multi-objective programming problem and its Mond-Weir type sub gradient dual model under the assumptions of η-pseudolinearity on the functions involved. The results presented in this paper extend some earlier results on duality in multiobjective programming problems under pseudolinearity and η-pseudolinearity assumptions.

Keywords

Multi-objective programming, Non-smooth programming, Pseudolinearity, η-pseudolinearity, Duality, 90C29, 49J52, 49N15