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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.

##### MSC:
 06A75 Generalizations of ordered sets 06A06 Partial orders, general 54E35 Metric spaces, metrizability 54H25 Fixed-point and coincidence theorems (topological aspects) 68N17 Logic programming
##### Keywords:
fixed points; metric spaces; ordered sets; fuzzy orders
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##### References:
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