SOME PROPERTIES OF B-CONVEXITY
- School of Mathematics and Computer Science, GuiZhou University for Nationalities , 550025, Guiyang, Guizhou, China..
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.
- continuous selection
- fixed point
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