Editing Fixed-point theorem (section)

{{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.
 | title      = Fixed Point Theory and Its Applications
 | year       = 1988
 | publisher  = American Mathematical Society
 | isbn       = 0-8218-5080-6
}}
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