Remarks on quasi-variational inequalities and fixed points in locally convex topological vector spaces |
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Authors: | GX-Z Yuan |
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Institution: | Department of Mathematics, The University of Queensland Brisbane 4072, QLD, Australia |
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Abstract: | In this note, we first prove existence theorems for noncompact generalized quasivariational inequalities. As applications, two fixed point theorems for upper or lower semicontinuous multivalued mappings without compact domains are given in locally Hausdorff topological vector spaces. These results generalize or improve corresponding results in the literature. |
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Keywords: | Upper (lower) semicontinuous Generalized quasi-variational inequality (GQVI) Fixed points Class L L-majorized Locally convex spaces |
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