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Proximity operators of function <math>f</math> at <math>x</math> is defined as
For every <math>x \in \mathbb{R}^N </math>, the minimization problem
:<math>▼
▲<math>
\begin{align}
& \text{minimize}_{y \in C} & f(y) + \frac{1}{2} \
\end{align}
</math>
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