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Convergence and fixed points by fuzzy orders. (English) Zbl 1176.06002
This paper is an attempt to face questions of convergence and fixed points by unifying fixed-point theory in ordered sets and fixed-point theory in metric spaces. A general approach to fixed-point theory is proposed which is related to the notion of fuzzy ordering. This approach extends both the fixed-point theorems in metric spaces and the ones in ordered sets. An example from logic programming is discussed.

06A75 Generalizations of ordered sets
06A06 Partial orders, general
54E35 Metric spaces, metrizability
54H25 Fixed-point and coincidence theorems (topological aspects)
68N17 Logic programming
Full Text: DOI
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