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SOME PROPERTIES OF B-CONVEXITY.

Authors :
Hongmin Suo
Source :
Journal of Nonlinear Sciences & Applications (JNSA); 2009, Vol. 2 Issue 2, p71-77, 7p
Publication Year :
2009

Abstract

In this paper, we give a characteristic of B-convexity structures of finite dimensional B-spaces: if a finite dimensional B-space has the weak selection property then its B-convexity structure satisfies H-condition. We also get some relationships among B-convexity structures, selection property and fixed point property. We show that in a compact convex subset of a finite dimensional B-space satisfying H-condition the weak selection property implies the fixed point property. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20081898
Volume :
2
Issue :
2
Database :
Complementary Index
Journal :
Journal of Nonlinear Sciences & Applications (JNSA)
Publication Type :
Academic Journal
Accession number :
42204182
Full Text :
https://doi.org/10.22436/jnsa.002.02.01