An intermediate value theorem in ordered Banach spaces
Gerd Herzog
Annales Polonici Mathematici, Tome 98 (2010), p. 63-69 / Harvested from The Polish Digital Mathematics Library
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We prove an intermediate value theorem for certain quasimonotone increasing functions in ordered Banach spaces, under the assumption that each nonempty order bounded chain has a supremum.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:280762 
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     author = {Gerd Herzog},
     title = {An intermediate value theorem in ordered Banach spaces},
     journal = {Annales Polonici Mathematici},
     volume = {98},
     year = {2010},
     pages = {63-69},
     zbl = {1200.47070},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-1-4}
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Gerd Herzog. An intermediate value theorem in ordered Banach spaces. Annales Polonici Mathematici, Tome 98 (2010) pp. 63-69. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-1-4/