Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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MULTIVALUED VERSIONS OF A BOLZANO'S THEOREM

  • Received : 2010.03.12
  • Published : 2011.05.01
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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.

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References

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