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非紧超凸空间的Browder不动点定理及其应用 被引量:6

Browder Fixed Point Theorem in Noncompact Spaces and Their Applications
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摘要 在非紧超凸度量空间中的非紧允许集上,改进并推广了Browder不动点定理,讨论了KyFan极大极小不等式.在应用中,给出了2个新的非合作n-人对策的Nash平衡存在定理. In the noncompact admissible subsets of noncompact hyperconvex metric spaces,Browder fixed point theorem is improved and generalized and Ky Fan minimax inequality is studied.As to application,two new existence theorems of Nash equilibrium of the non-cooperative n-person game are given.
作者 文开庭
出处 《吉首大学学报(自然科学版)》 CAS 2004年第3期68-71,共4页 Journal of Jishou University(Natural Sciences Edition)
关键词 BROWDER不动点定理 超凸度量空间 极大极小不等式 存在定理 NASH平衡 推广 合作 对策 hyperconvex metric space Browder fixed point theorem admissible set noncompact measure Ky Fan minimax inequality Nash equilibrium
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