Order-preservation of solution correspondence for parametric generalized variational inequalities on Banach lattices

被引：0
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作者：
Yuehu Wang
Congjun Zhang
机构：
[1] Nanjing University of Finance and Economics,School of Management Science and Engineering
[2] Nanjing University of Finance and Economics,School of Applied Mathematics
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
order-theoretic fixed point; order-preservation; parametric generalized variational inequalities; equilibrium problems; Banach lattices;
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摘要：
In this paper, several order-theoretic fixed point theorems are proved on Banach lattices. As applications of these fixed point theorems, we study the order-preservation of solution correspondence for parametric generalized variational inequalities. Furthermore, the existence of solutions to equilibrium problems is also examined. Our approach is order-theoretic and all results obtained in this paper do not require the considered mappings to be continuous or semi-continuous with respect to any topology equipped on the underlying space.
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