| Abstract: |
| In this paper, we provide a duality theory for nonsmooth optimization problems with vanishing constraints (MPVC) defined by locally Lipschitz functions. In order to do this, we first formulate a new mixed-type dual problem for an MPVC, which is a generalization of Wolf and Mond-Weir dual problems. Since this dual problem depends on the feasible points of the primal problem, we introduce another mixed-type dual problem that does not have this dependence. Then, we present the weak, the strong, the converse, the restricted converse, and the strict converse duality results for these parametric dual problems. Finally, we compare the results of the article written by Mishra (2016) with our results and state the correct version of some of its incorrect theorems. |
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