Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844625 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 12 Pages |
Abstract
In this paper, we introduce the concept of the strict Kakutani multimap (KKM) property and investigate the fixed point problem for multimaps having this property on almost Î-convex subsets of locally G-convex uniform spaces. Our new fixed point theorem generalizes the well-known Fan-Glicksberg fixed point theorem and partially extends the Himmelberg fixed point theorem. Its application to minimax theorem is also given.
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Authors
Tian-Yuan Kuo, Jyh-Chung Jeng, Young-Ye Huang,