In this paper, without assumption of monotonicity, we study the compactness and the connectedness of the weakly efficient solutions set to vector equilibrium problems by using scalarization method in locally convex spaces. Our results improve the corresponding results in [X. H. Gong, Connectedness of the solution sets and scalarization for vector equilibrium problems, J. Optim. Theory Appl. $f 133$ (2007), 151--161].
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机译:在没有单调性假设的情况下,我们使用局部凸空间中的标量方法研究了矢量平衡问题的弱有效解的紧致性和连通性。我们的结果改进了[X.]中的相应结果。 H. Gong,向量平衡问题的解集和标量的连通性,J。Optim。理论应用$ bf 133 $(2007),151--161]。
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