TY - JOUR AU - SUO, HONGMIN PY - 2009 TI - SOME PROPERTIES OF B-CONVEXITY JO - Journal of Nonlinear Sciences and Applications SP - 71-77 VL - 2 IS - 2 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.002.02.01 DO - 10.22436/jnsa.002.02.01 ID - SUO2009 ER -