The Existence of Maximum and Minimum Solutions to General Variational Inequalities in the Hilbert Lattices

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作者
Jinlu Li
Jen-Chih Yao
机构
[1] Shawnee State University,Department of Mathematics
[2] National Sun Yat-Sen University,Department of Applied Mathematics
关键词
Variational Inequality; Convex Subset; Nonempty Subset; Banach Lattice; Minimum Solution;
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摘要
We apply the variational characterization of the metric projection to prove some results about the solvability of general variational inequalities and the existence of maximum and minimum solutions to some general variational inequalities in the Hilbert lattices.
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