Abstract
We study nonsmooth multiobjective fractional programming problem containing local Lipschitz exponential -invex functions with respect to and . We introduce a new concept of nonconvex functions, called exponential -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 -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 -invexity.
Citation
Shun-Chin Ho. "Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential -Invexity." J. Appl. Math. 2013 (SI21) 1 - 7, 2013. https://doi.org/10.1155/2013/237428