Foundations of the KKM theory on generalized convex spaces
type: Item
instance of: scholarly article
title: Foundations of the KKM theory on generalized convex spaces
zbMATH Open document ID: 0873.54048
author: Sehie Park
author: Hoonjoo Kim
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-10-29T00:00:00Z
review text: Using the concept of generalized convex space and a coincidence theorem given in the authors' paper [ibid. 197, No. 1, 173-187 (1996; Zbl 0851.54039)], some generalizations of the KKM theorem, the matching theorem, a whole intersection property, an analytic alternative, the Fan Ky minimax inequality, geometric or section properties, and others on generalized convex spaces are obtained. The results presented improve, extend and unify many recent results.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 1031622
zbMATH Keywords: generalized convex space
zbMATH Keywords: KKM theorem
zbMATH Keywords: matching theorem
zbMATH Keywords: minimax inequality
reviewed by: Shihsen Chang
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5388
OpenAlex ID: W2048894440
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Foundations of the KKM theory on generalized convex spaces (DOI)
DOI: 10.1006/JMAA.1997.5388

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