Duality for a class of multiobjective control problems with generalized invexity

摘要

B. Mend and I. Smart (J. Math. Anal. Appl. 136 (1988), 325-333) defined a kind of invexity and discussed the duality and sufficiency in scalar control problems with such invexity. D. Bhatia and P. Kumar (J. Math. Anal. Appl. 189 (1995), 676-692) defined another kind of invexity, corresponding generalized invexity, and discussed the duality for multiobjective control problems with such generalized invexity. In this paper, the duality results for multiobjective control problems with Mend and Smart's generalized invexity are discussed. (C) 2001 Academic Press. [References: 18]