Geodesic
SOME PROPERTIES OF B-CONVEXITY
SUO, HONGMIN1
1 School of Mathematics and Computer Science, GuiZhou University for Nationalities , 550025, Guiyang, Guizhou, China.
Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 2, p. 71-77.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.002.02.01
Classification : 46A55, 47H10, 54H25
Keywords: B-Convexity, continuous selection, fixed point, KKM-maping.

SUO, HONGMIN 1

1 School of Mathematics and Computer Science, GuiZhou University for Nationalities , 550025, Guiyang, Guizhou, China. 
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SUO, HONGMIN. SOME PROPERTIES OF B-CONVEXITY. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 2, p. 71-77. doi : 10.22436/jnsa.002.02.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.02.01/

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