An intermediate value theorem in ordered Banach spaces
Annales Polonici Mathematici (2010)
- Volume: 98, Issue: 1, page 63-69
- ISSN: 0066-2216
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topGerd Herzog. "An intermediate value theorem in ordered Banach spaces." Annales Polonici Mathematici 98.1 (2010): 63-69. <http://eudml.org/doc/280762>.
@article{GerdHerzog2010,
abstract = {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.},
author = {Gerd Herzog},
journal = {Annales Polonici Mathematici},
keywords = {ordered Banach spaces; quasimonotone increasing functions; intermediate value theorem},
language = {eng},
number = {1},
pages = {63-69},
title = {An intermediate value theorem in ordered Banach spaces},
url = {http://eudml.org/doc/280762},
volume = {98},
year = {2010},
}
TY - JOUR
AU - Gerd Herzog
TI - An intermediate value theorem in ordered Banach spaces
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 1
SP - 63
EP - 69
AB - 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.
LA - eng
KW - ordered Banach spaces; quasimonotone increasing functions; intermediate value theorem
UR - http://eudml.org/doc/280762
ER -
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