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MULTIVALUED VERSIONS OF A BOLZANO'S THEOREM

조성훈|배종숙
대한수학회 (The Korean Mathematical Society)|2011.05|대한수학회지 (Journal of the KMS)|제48권 제3호|pp. 641-653

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참고문헌

키워드

fixed pointweakly inward setmonotone mappingsemi-monotone mappingstrongly-monotone mapping
주제분류수학

초록

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.

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.

참고문헌 (22)

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