l -凸空间中的极大极小不等式及其应用

2010 IEEE International Conference on Intelligent Computing and Intelligent Systems Pub Date : 2010-12-06 DOI:10.1109/ICICISYS.2010.5658326

Qunwang Tong

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引用次数: 0

摘要

本文利用l -凸空间中的一个极大极小不等式，建立了Ky Fan的截面定理，并讨论了它在l -凸空间中的极大极小不等式、极大元定理中的应用。作为应用，得到了l -凸空间中抽象广义向量平衡的一些新的存在定理。

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A minimax inequality in L-convex spaces and its applications

In this paper, by using a minimax inequality in L-convex spaces, we establish Ky Fan's section theorem and discuss its applications to minimax inequality, maximal element theorem in L-convex spaces. As applications, some new existent theorems for abstract generalized vector equilibrium are obtained in L-convex spaces.

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来源期刊

2010 IEEE International Conference on Intelligent Computing and Intelligent Systems

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