An intermediate value theorem in ordered Banach spaces
Functional Analysis
2013-01-29 v1
Abstract
We consider a monotone increasing operator in an ordered Banach space having and as a strong super- and subsolution, respectively. In contrast with the well studied case , we suppose that . Under the assumption that the order cone is normal and minihedral, we prove the existence of a fixed point located in the ordered interval
Cite
@article{arxiv.1203.3068,
title = {An intermediate value theorem in ordered Banach spaces},
author = {Vadim Kostrykin and Anna Oleynik},
journal= {arXiv preprint arXiv:1203.3068},
year = {2013}
}