Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices

We introduce the concepts of ordered variational inequalities and ordered complementarity problems with both domain and range in Banach lattices. Then we apply the Fan-KKM theorem and KKM mappings to study the solvability of these problems.

Bibliographic Details
Main Authors: Jinlu Li, Ching-Feng Wen
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/323126