Volume 4,
Issue 3 (GI8), 2003
Article
52
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CONTINUITY PROPERTIES OF CONVEX-TYPE SET-VALUED MAPS
KAZIMIERZ NIKODEM
DEPARTMENT OF MATHEMATICS,
UNIVERSITY OF BIELSKO--BIALA WILLOWA 2,
PL-43-309 BIELSKO-BIALA, POLAND.
E-Mail: knik@ath.bielsko.pl
Received 29 December, 2002; Accepted 21 May, 2003.
Communicated by: Z. Páles
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ABSTRACT.
K-convex, K-midconvex and
(K, l)-convex
set-valued maps are considered. Several conditions implying the
continuity of such maps are collected.
Key words:
Convex functions, set--valued maps, K-midconvex set-valued maps,
K-continuity.
2000 Mathematics Subject
Classification:
26A51, 54C60, 39B62.
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