Nonsmooth multiobjective fractional programming with local Lipschitz exponential B-p,r-invexity

We study nonsmooth multiobjective fractional programming problem containing local lipschitz exponential b-p,r-invex functions with respect to η and b. we introduce a new concept of nonconvex functions,called exponential b-p,r-invex functions. base on the generalized invex functions,we establish sufficient optimality conditions for a feasible point to be an efficient solution. furthermore,employing optimality conditions to perform mond-weir type duality model and prove the duality theorems including weak duality,strong duality,and strict converse duality theorem under exponential b-p,r-invexity assumptions. consequently,the optimal values of the primal problem and the mond-weir type duality problem have no duality gap under the framework of exponential b-p,r-invexity. © 2013 shun-chin ho.