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Some results for the family 2 -g KKM (X, Y) and the Φ-mapping in hyperconvex metric spaces
期刊文章

Some results for the family 2 -g KKM (X, Y) and the Φ-mapping in hyperconvex metric spaces

Chi-Ming Chen 和 Tong-Huei Chang
Nonlinear Analysis, Theory, Methods and Applications, 卷.69(8), 頁碼.2533-2540
10/2008
DOI: https://doi.org/10.1016/j.na.2007.08.033

摘要

2 -g KKM mapping Fixed point theorem Hyperconvex metric space Minimax inequality theorem Variational inequality theorem Analysis Applied Mathematics
In this work, we first define the generalized 2 - g KKM mapping and the family 2 - g KKM (X, Y) in a hyperconvex metric space, and we get a fixed point theorem on this family without compact assumption. Next, we establish some variational inequalities and minimax inequalities for the family 2 - g KKM (X, Y) and the Φ-mapping. © 2008.

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