Define a function A: C[0, 1] - C[0, 1] by (A(f))(x) = g(x) = [ $...

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Define a function A: C[0, 1] - C[0, 1] by (A(f))(x) = g(x) = [ $ (t) dt, 0< <1. %3D (a) Is A a contraction? (b) Is A? a contraction? (c) Does A have a unique fixed point? Define a function A: C[0, 1] - C[0, 1] by (A(f))(x) = g(x) = [ $ (t) dt, 0< <1. %3D (a) Is A a contraction? (b) Is A? a contraction? (c) Does A have a unique fixed point?