線型位相空間における双対系構造の一般化と多価写像の不動点定理

浦井, 憲; 横田, 耕祐

大阪大学経済学, 2006, 56(3), 1-12

Number of Access:504（2025-08-27 00:19 Counts）

Identifier to cite or link to this item: https://doi.org/10.18910/14723

Link to primary information 

File Format Terms of use Size Views Date.Available Description information
oep056_3_001 pdf None 676 KB 394 2012.09.22  

Item Information

Output File Export EndNote Basic Export Mendeley

Title
線型位相空間における双対系構造の一般化と多価写像の不動点定理
Generalization of Dual System Structure on Linear Topological Spaces and Fixed Point Theorems for Multi-valued Mappings
センケイ イソウ クウカン ニ オケル ソウタイケイ コウゾウ ノ イッパンカ ト タカ シャゾウ ノ フドウ テン テイリ
Creator
NRID
1000000203597 1000000203597
researchmap permalink
read0175173 read0175173
Scopus Author ID
24287014300 24287014300
CreatorName
浦井, 憲 ; ウライ, ケン ; Urai, Ken
CreatorName
横田, 耕祐 ; ヨコタ, コウスケ ; Yokota, Kousuke
Subject
Abstract Convexity
Generalized Dual System Structure
Fan-Browder’s Fixed Point Theorem
Kakutani’s Fixed Point Theorem
Gale-Nikaido-Debreu Lemma
JEL
C62
D51
Description
論文
Abstract
In this paper, the concept of duality between two spaces having vector space structures is generalized so that we may obtain minimal continuity and/or convexity conditions for multi- valued mappings to have fixed points from the viewpoint of economic equilibrium theory. We use one of the weakest structures of abstract convexity to define an abstract system of duality, and show that upper semicontinuity and open lower section property may be treated as special cases of generalized mappings defined for arguments in economic equilibrium theory under the generalized dual system structure. We also use the results to show the existence of economic equilibria as one of the most general forms of Gale-Nikaido-Debreu Lemma.
Publisher
大阪大学経済学会
The Economic Society of Osaka University
オオサカ　ダイガク　ケイザイ　ガッカイ
Source Title
大阪大学経済学
Osaka Economic Papers
Volume (Issue)
56(3)
Page
1-12
Date of Issued
2006-12
Language
Japanese
Handle URL
https://hdl.handle.net/11094/14723
DOI
https://doi.org/10.18910/14723
PISSN
04734548
NCID
AN00030111
Access Rights
open access
oaire:version
Version of Record
Category
本学関連学会 Related Societies
Osaka Economic Papers / Vol.56 No.3 (2006-12)