Abstract
Let $${\cal Z}$$ and X be Hausdorff real topological vector spaces and let $${\cal L}_b(X,{\cal Z})$$ be the space of continuous linear mappings from X into $${\cal Z}$$ equipped with the topology of bounded convergence. In this paper, we define the (S)+ condition for operators from a nonempty subset of X into $${\cal L}_b(X,{\cal Z})$$ and derive some existence results for vector variational inequalities with operators of the class (S)+. Some applications to vector complementarity problems are given.
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Chiang, Y., Yao, J.C. Vector Variational Inequalities and the (S)+ Condition. Journal of Optimization Theory and Applications 123, 271–290 (2004). https://doi.org/10.1007/s10957-004-5149-x
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DOI: https://doi.org/10.1007/s10957-004-5149-x