Tian, Guoqiang (1989): Fixed Points Theorems for Mappings with Non-compact and Non-Convex Domains. Published in: Journal of Mathematical Analysis and Applications , Vol. 158, (1991): pp. 161-167.
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This note gives some fixed point theorems for lower and upper semi-continuous mappings and mappings with open lower sections defined on non-compact and non-convex sets. It will be noted that the conditions of our theorems are not only sufficient but also necessary. Also our theorems generalize some well-known fixed point theorems such as the Kakutani fixed point theorem and the Brouwer-Schauder fixed point theorem by relaxing the compactness and convexity conditions.
|Item Type:||MPRA Paper|
|Original Title:||Fixed Points Theorems for Mappings with Non-compact and Non-Convex Domains|
|Keywords:||Fixed Points Theorems;Non-compact;Non-Convex; Domains|
|Subjects:||D - Microeconomics > D5 - General Equilibrium and Disequilibrium|
|Depositing User:||Guoqiang Tian|
|Date Deposited:||19. Sep 2012 11:40|
|Last Modified:||11. Feb 2013 16:57|
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