Article ID Journal Published Year Pages File Type
843374 Nonlinear Analysis: Theory, Methods & Applications 2008 5 Pages PDF
Abstract

In this work, we first define the 2-KKM mapping and the generalized 2-KKM mapping on a metric space, and then we apply the property of the hyperconvex metric space to get a KKM theorem and a fixed point theorem without a compactness assumption. Next, by using this KKM theorem, we get some variational inequality theorems and minimax inequality theorems.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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