Fixed-point_theorem
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Fixed-point theorem - Wikipedia Jump to content From Wikipedia, the free encyclopedia Condition for a mathematical function to map some value to itself In mathematics , a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F ( x ) = x ), under some conditions on F that can be stated in general terms. [ 1 ] In mathematical analysis [ edit ] The Banach fixed-point theorem (1922) gives a general criterion guaranteeing that, if it is satisfied, the procedure of iterating a function yields a fixed point. [ 2 ] By contrast, the Brouwer fix
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