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{{Short description|Condition for a mathematical function to map some value to itself
In [[mathematics]], a '''fixed-point theorem''' is a result saying that a [[function (mathematics)|function]] ''F'' will have at least one [[fixed point (mathematics)|fixed point]] (a point ''x'' for which ''F''(''x'') = ''x''), under some conditions on ''F'' that can be stated in general terms.<ref>{{cite book
| editor = Brown, R. F.
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