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Volume 5, Issue 1, 1 April 2023, Pages 149-161
Abstract. In this paper, we investigate Lagrange dualities for a vector variational inequality problem. For a vector variational inequality problem with convex inclusion constraints, we develop an equivalent saddle point formulation via scalarization. For a vector variational inequality problem with linear constraints, we formulate a dual vector variational inequality via that of a linear multiobjective optimization problem and show that for a solution of a vector variational inequality problem, there is one corresponding solution for its dual. We give some examples to illustrate the results.
How to Cite this Article:
X. Yang, Lagrange duality of vector variational inequalities, J. Appl. Numer. Optim. 5 (2023), 149-161.