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Some results for the family KKM (X, Y) and the Φ-mapping
期刊文章

Some results for the family KKM (X, Y) and the Φ-mapping

Chi-Ming Chen 和 Tong-Huei Chang
Journal of Mathematical Analysis and Applications, 卷.329(1), 頁碼.92-101
05/2007
DOI: https://doi.org/10.1016/j.jmaa.2006.06.040

摘要

Φ-Mapping Coincidence theorem Convex set k-Set contraction KKM (X, Y) Matching theorem Minimax theorem Variational inequality Analysis Applied Mathematics
In this paper, we first establish a fixed point theorem for a k-set contraction map on the family KKM (X, X), which not needs to be a compact map. Next, we establish the matching theorems, coincidence theorems and minimax theorems on the family KKM (X, Y) and the Φ-mapping. © 2006 Elsevier Inc. All rights reserved.

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