# SOME PROPERTIES OF B-CONVEXITY

Volume 2, Issue 2, pp 71-77 Publication Date: May 15, 2009
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### Authors

HONGMIN SUO - School of Mathematics and Computer Science, GuiZhou University for Nationalities , 550025, Guiyang, Guizhou, China.

### 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.

### Keywords

• B-Convexity
• continuous selection
• fixed point
• KKM-maping.

•  46A55
•  47H10
•  54H25

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