利用一类新的广义一致Bp-(p,r)-不变凸函数建立了多目标规划问题的Mond—Weir型对偶,证明了弱对偶,强对偶和逆对偶定理.其结论具有一般性,推广了许多涉及不变凸函数,不变B凸函数,(p,r)-不变凸以及B-(p,r)一不变凸函数文献的结论.
By using a new nonsmooth generalized uniform Be- (p,r)- Invexity, the Mond-Weir Duality prob- lem of the multiobjective programming problems are studied,and the dulity results are established. This results generalize many results on programming problems with invex functions,B-Invexity functions, (p,r)- Invexity functions, and B- (p, r)-Invexity function.