An intermediate value theorem in ordered Banach spaces
Tom 98 / 2010
Annales Polonici Mathematici 98 (2010), 63-69 MSC: 47H07, 47J20. DOI: 10.4064/ap98-1-4
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.