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

Fixexd point theory and applications

Jen-Chih Yao¹  Jinlu Li² 

[1] Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan;Department of Mathematics, Shawnee State University, Portsmouth, USA

关键词: Variational Inequality;    Convex Subset;    Nonempty Subset;    Banach Lattice;    Minimum Solution;   

DOI  :  10.1155/2011/904320

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY