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On Reduced Pairs of Bounded Closed Convex Sets

Jerzy GRZYBOWSKI and Ryszard URBANSKI
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
Umultowska 87
PL-61614 Pozna
ń Poland

Received: September 12, 2003
Accepted: February 23, 2002
ABSTRACT

In this paper certain criteria for reduced pairs of bounded closed convex set are presented. Some examples of reduced and not reduced pairs are enclosed.

Key words: convex analysis, pairs of convex sets.
2000 Mathematics Subject Classification:
52A07, 26A27.