Abstract
We consider a monotone increasing operator in an ordered Banach space having [InlineEquation not available: see fulltext.] and [InlineEquation not available: see fulltext.] as a strong super- and subsolution, respectively. In contrast with the well-studied case [InlineEquation not available: see fulltext.], we suppose that [InlineEquation not available: see fulltext.]. Under the assumption that the order cone is normal and minihedral, we prove the existence of a fixed point located in the order interval [InlineEquation not available: see fulltext.].
MSC: 47H05, 47H10, 46B40.[PUBLICATION ABSTRACT]
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