Remarks on Weakly KKM Maps in Abstract Convex Spaces. (3rd February 2008)

• Record Type: Journal Article
• Authors: Park, Sehie
• Other Names: Jebelean Petru Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2008(2008)
• Publication Date: 2008-02-03
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2008/423596
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : A KKM space is an abstract convex space satisfying the KKM principle. We obtain variants of the KKM principle for KKM spaces related to weakly KKM maps and indicate some applications of them. These results properly generalize the corresponding ones inG -convex spaces andϕ A -spaces( X, D ; { ϕ A } A ∈ 〈 D 〉 ) . Consequently, results by Balaj 2004, Liu 1991, and Tang et al. 2007 can be properly generalized and unified.