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. - In: INTERNATIONAL MATHEMATICAL FORUM. - ISSN 1312-7594. - STAMPA. - 4:35(2009), pp. 1709-1713.
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 “≤”.File in questo prodotto:
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