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http://dx.doi.org/10.4134/JKMS.2011.48.3.641

MULTIVALUED VERSIONS OF A BOLZANO'S THEOREM  

Bae, Jong-Sook (Department of Mathematics Moyngji University)
Cho, Seong-Hoon (Department of Mathematics Hanseo University)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.3, 2011 , pp. 641-653 More about this Journal
Abstract
The intermediate value theorem for a continuous real valued function is a kind of Bolzano's theorem. Similar results also hold for compact, monotone or accretive mappings in Banach spaces. In this paper we give multivalued versions of Bolzano's theorem.
Keywords
fixed point; weakly inward set; monotone mapping; semi-monotone mapping; strongly-monotone mapping;
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