非紧超凸度量空间中的Browder不动点定理及其对抽象经济的应用  

The Browder Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Applications to Abstract Economics

作　　者：文开庭[1] 

机构地区：[1]毕节师范高等专科学校数学系,贵州毕节551700

出　　处：《集美大学学报（自然科学版）》2004年第4期378-382,共5页Journal of Jimei University：Natural Science

基　　金：贵州省毕节师专科研经费资助项目.

摘　　要：改进推广Browder不动点定理至非紧超凸度量空间的非紧允许集上.在非紧超凸度量空间中,研究了极大元定理并新建了非紧超凸度量空间的定性对策平衡点和抽象经济平衡点存在定理.The Browder fixed point theorem was improved and generalized into the noncompact admissible subsets of noncompact hyperconvex metric spaces.In noncompact hyerconvex metric spaces,the maximal element theorem was studied and the equilibrium existence theorems of the qualitative game and economics in noncompact hyperconvex metric spaces were established.

关 键 词：超凸度量空间 BROWDER不动点定理 允许集 非紧性测度 极大元 抽象经济平衡 

分 类 号：O177.91[理学—数学]