Fixed Points Theorems for Mappings with Non-compact and Non-Convex Domains

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.

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Year of publication:	1989-11-27
Authors:	Tian, Guoqiang
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	Fixed Points Theorems \| Non-compact \| Non-Convex \| Domains

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Classification:	D5 - General Equilibrium and Disequilibrium
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011113583