A solution method for the optimistic linear semivectorial bilevel optimization problem

Yibing Lv, Zhongping Wan · Journal of Inequalities and Applications · 2014

In this paper, the linear semivectorial bilevel programming problem is our concern. Based on the optimal value function reformulation approach, the linear semivectorial bilevel programming problem is transformed into a nonsmooth optimization problem, and a solution algorithm is proposed. We analyze the global and local convergence of the algorithm and give an example to illustrate the algorithm proposed in this paper.

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