Duality in Non-smooth Multi-objective Programming Involving η-Pseudolinear Functions Misbra S.K.1,**, Upadbyay B. B.1,* 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. Top Keywords Multi-objective programming, Non-smooth programming, Pseudolinearity, η-pseudolinearity, Duality. Top 2000 Mathematics Subject Classification 90C29, 49J52, 49N15. Top |