Abstract
Let $X$ and $Y$ be Hausdorff and locally convex topological vector spaces. In this paper, we prove that a convex subset of $X$ is closed if and only if it is closed in the topology on $X$ induced by the set of continuous linear mappings from $X$ into $Y$ . As applications, some existence results for vector equilibrium problems and vector variational inequalities associated with discontinuous mappings are given.
Citation
Y. Chiang. Y. S. Wang. "ON CLOSEDNESS IN THE $\mathcal{L}$-TOPOLOGY OF T.V.S.." Taiwanese J. Math. 10 (1) 129 - 138, 2006. https://doi.org/10.11650/twjm/1500403804
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