ISSN:
1573-2754
Keywords:
covering property
;
H-space
;
H-convex
;
H-convex hull
;
almost fixed point
;
lower semi-continuous
;
l.c.-space
;
simplex
;
uniform structure
;
lopological vector space
;
locally convex space
;
contractible
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grünbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02456645
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