%0 Journal Article %T SOME PROPERTIES OF B-CONVEXITY %A SUO, HONGMIN %J Journal of Nonlinear Sciences and Applications %D 2009 %V 2 %N 2 %@ ISSN 2008-1901 %F SUO2009 %X 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. %9 journal article %R 10.22436/jnsa.002.02.01 %U http://dx.doi.org/10.22436/jnsa.002.02.01 %P 71-77