If I have a functional equation of the form $y=Uy+x$ where U is an integral operation and $x$ and $y$ functions. Do, in general, the sequence defined by $y_{n+1}=Uy_{n}+x$ converges to a solution of the equation?
2026-03-29 23:58:24.1774828704
Does fixed point iteration converges in a second type Fredhom Equation?
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