%0 Journal Article %A Juan Zhang and Changzhao Li %D 2013 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 73, 2013 %T Characterization of Solutions of Nonsmooth Variational Problems and Duality %U https://publications.waset.org/pdf/16970 %V 73 %X In this paper, we introduce a new class of nonsmooth pseudo-invex and nonsmooth quasi-invex functions to non-smooth variational problems. By using these concepts, numbers of necessary and sufficient conditions are established for a nonsmooth variational problem wherein Clarke’s generalized gradient is used. Also, weak, strong and converse duality are established. %P 112 - 118