Authors:	Kostrykin, Vadim Oleynik, Anna
Title:	An intermediate value theorem for monotone operators in ordered Banach spaces
Online publication date:	6-Oct-2022
Year of first publication:	2012
Language:	english
Abstract:	We consider a monotone increasing operator in an ordered Banach space having u and u+ as a strong super- and subsolution, respectively. In contrast with the well-studied case u+ < u , we suppose that u < u+. Under the assumption that the order cone is normal and minihedral, we prove the existence of a fixed point located in the order interval [u , u+].
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-7881
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/2.0/
Journal:	Fixed point theory and applications 2012
Pages or article number:	Art. 211
Publisher:	SpringerOpen
Publisher place:	Heidelberg u.a.
Issue date:	2012
ISSN:	1687-1812
Publisher URL:	http://dx.doi.org/10.1186/1687-1812-2012-211
Publisher DOI:	10.1186/1687-1812-2012-211
Appears in collections:	DFG-OA-Publizieren (2012 - 2017)