SOME PROPERTIES OF B-CONVEXITY
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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.
Share and Cite
ISRP Style
HONGMIN SUO, SOME PROPERTIES OF B-CONVEXITY, Journal of Nonlinear Sciences and Applications, 2 (2009), no. 2, 71-77
AMA Style
SUO HONGMIN, SOME PROPERTIES OF B-CONVEXITY. J. Nonlinear Sci. Appl. (2009); 2(2):71-77
Chicago/Turabian Style
SUO, HONGMIN. "SOME PROPERTIES OF B-CONVEXITY." Journal of Nonlinear Sciences and Applications, 2, no. 2 (2009): 71-77
Keywords
- B-Convexity
- continuous selection
- fixed point
- KKM-maping.
MSC
References
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