NECESSARY CONDITIONS FOR SUBOPTIMIZATION OVER THE WEAKLY EFFICIENT SET ASSOCIATED TO GENERALIZED INVEX MULTIOBJECTIVE PROGRAMMING

The problem of optimizing a real-valued function over the weakly effic ient set associated to a multiobjective program is examined. Two types of necessary conditions for suboptimizing the solution of the general problem are presented, which are somewhat similar to Theorem 4.1 of S . Bolintineanu (J. Optim. Theory Appl. 78, 1993, 579-598), but under m uch weaker assumptions. (C) 1996 Academic Press, Inc.