Let X be a partially ordered set with partial ordering “≤”and d a metric on X such that (X,d) is a (non necessarily complete) metric space. We prove some fixed point theorems for nondecreasing selfmaps of X satisfying a contractive condition assigned for pairs of elements of X which are comparable with respect to “≤”.

Fixed point theorems for contractions in partially ordered sets

DIVICCARO, MARIA LUIGIA
2009

Abstract

Let X be a partially ordered set with partial ordering “≤”and d a metric on X such that (X,d) is a (non necessarily complete) metric space. We prove some fixed point theorems for nondecreasing selfmaps of X satisfying a contractive condition assigned for pairs of elements of X which are comparable with respect to “≤”.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/350243
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