Generalized type I invexity and duality in multiobjective variational problems

In this paper, we introduce new classes of generalized V-type I invex functions for variational problems and consider a multiobjective variational problem (VP). A number of sufficiency results are established using Lagrange multiplier conditions under various types of generalized V-type I invexity requirements. Duality results are obtained for Mond–Weir type duals under the above generalized V-type I invexity assumptions and their generalizations.  2005 Elsevier Inc. All rights reserved.