1College of Mathematics and Econometrics, Hunan University, 410082, Changsha, P.R. China. E-mail:
2Department of Information, Hunan Business College, 410205, Changsha, P.R. China.
In this paper, we extend the classes of generalized type I univexity introduced by S.K.Mishra, Shou-Yang Wang, K.K.Lai [J.Math.Anal.Appl.303(2005)315–326] to type I semi-d-univexity by combining the concepts of generalized d-univexity in S.K.Mishra, Shou-Yang Wang, K.K.Lai [Euro.J.Oper.Res.160(2005)218–226] and semi-preinvexity in X.Q.Yang, Guang-Ya Chen [J. Math.Anal.Appl.169(1992)359–373]. Using the new concepts, some optimality conditions and some duality results for the nondifferentiable multiobjective programming problem are established.
Nondifferentiable multiobjective programming, type I semidunivexity, optimality conditions, duality
