Tian, Guoqiang (1989): Fixed Points Theorems for Mappings with Noncompact and NonConvex Domains. Published in: Journal of Mathematical Analysis and Applications , Vol. 158, (1991): pp. 161167.

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Abstract
This note gives some fixed point theorems for lower and upper semicontinuous mappings and mappings with open lower sections defined on noncompact and nonconvex sets. It will be noted that the conditions of our theorems are not only sufficient but also necessary. Also our theorems generalize some wellknown fixed point theorems such as the Kakutani fixed point theorem and the BrouwerSchauder fixed point theorem by relaxing the compactness and convexity conditions.
Item Type:  MPRA Paper 

Original Title:  Fixed Points Theorems for Mappings with Noncompact and NonConvex Domains 
Language:  English 
Keywords:  Fixed Points Theorems;Noncompact;NonConvex; Domains 
Subjects:  D  Microeconomics > D5  General Equilibrium and Disequilibrium 
Item ID:  41299 
Depositing User:  Guoqiang Tian 
Date Deposited:  19. Sep 2012 11:40 
Last Modified:  11. Feb 2013 16:57 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/41299 