The correction notice for the book "Convex Analysis and Monotone Operator Theory in Hilbert Spaces" by H.H. Bauschke and P.L. Combettes addresses several errors and inconsistencies in the original publication. These corrections apply to Chapters 1–3, 5–13, 16–20, 23, 24, 26, 29, 30, and the back matter. The corrections include: 1. **Font/Symbol $\mathcal{H}$**: The usage of the font/symbol $\mathcal{H}$ has been standardized throughout the text. 2. **Equations and Expressions**: - Eq. (1.55): The identity $\operatorname{diam} B(x_{n} ; \varepsilon_{n})=2 \varepsilon_{n}$ has been replaced by $\operatorname{diam} B(x_{n} ; \varepsilon_{n}) \leqslant 2 \varepsilon_{n}$. - Eq. (2.17): $n \times n$ has been replaced by $N \times N$. - Exercise 3.2: "a nonempty set" has been replaced by "a nonempty finite set". - Exercise 8.12(ii): $|x^{1 / p}+1|^{p}$ has been replaced by $|-x^{1 / p}+1|^{p}$. - Exercise 8.19: $0 \in C$ has been replaced by $0 \in \operatorname{ri} C$. - Equation (9.39) and (9.40): $\mu(\omega)$ has been replaced by $\mu(\Omega)$. - Example 24.51: "is a proximal thresholder" has been replaced by "If $\mathcal{H} = \mathbb{R}$, then $\operatorname{Proxf}$ is a proximal thresholder". - Exercise 24.6: "Show that $(\forall x \in \mathcal{H})$" has been replaced by "Show that $(\forall x \in \mathbb{R})$". - Corollary 26.6: The statement has been corrected to include the correct conditions for $x$ and $u$. - Theorem 26.34: $\gamma \in [0, 1/\|L\|^2]$ has been replaced by $\gamma \in [0, 1/\|L\|]$. - Proposition 29.4: $\mathcal{C} = \bigtimes_{i \in I} C_i$ has been replaced by $\mathcal{C} = \mathcal{H}The correction notice for the book "Convex Analysis and Monotone Operator Theory in Hilbert Spaces" by H.H. Bauschke and P.L. Combettes addresses several errors and inconsistencies in the original publication. These corrections apply to Chapters 1–3, 5–13, 16–20, 23, 24, 26, 29, 30, and the back matter. The corrections include: 1. **Font/Symbol $\mathcal{H}$**: The usage of the font/symbol $\mathcal{H}$ has been standardized throughout the text. 2. **Equations and Expressions**: - Eq. (1.55): The identity $\operatorname{diam} B(x_{n} ; \varepsilon_{n})=2 \varepsilon_{n}$ has been replaced by $\operatorname{diam} B(x_{n} ; \varepsilon_{n}) \leqslant 2 \varepsilon_{n}$. - Eq. (2.17): $n \times n$ has been replaced by $N \times N$. - Exercise 3.2: "a nonempty set" has been replaced by "a nonempty finite set". - Exercise 8.12(ii): $|x^{1 / p}+1|^{p}$ has been replaced by $|-x^{1 / p}+1|^{p}$. - Exercise 8.19: $0 \in C$ has been replaced by $0 \in \operatorname{ri} C$. - Equation (9.39) and (9.40): $\mu(\omega)$ has been replaced by $\mu(\Omega)$. - Example 24.51: "is a proximal thresholder" has been replaced by "If $\mathcal{H} = \mathbb{R}$, then $\operatorname{Proxf}$ is a proximal thresholder". - Exercise 24.6: "Show that $(\forall x \in \mathcal{H})$" has been replaced by "Show that $(\forall x \in \mathbb{R})$". - Corollary 26.6: The statement has been corrected to include the correct conditions for $x$ and $u$. - Theorem 26.34: $\gamma \in [0, 1/\|L\|^2]$ has been replaced by $\gamma \in [0, 1/\|L\|]$. - Proposition 29.4: $\mathcal{C} = \bigtimes_{i \in I} C_i$ has been replaced by $\mathcal{C} = \mathcal{H}