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Figure 10 | Fixed Point Theory and Algorithms for Sciences and Engineering

Figure 10

From: On compositions of special cases of Lipschitz continuous operators

Figure 10

To the left is an illustration of the forward–backward composition \(J_{\gamma B}(\mathrm{Id}-\gamma A)\) with \(\gamma=\tfrac{3.9}{\beta}\), where \(\tfrac{1}{\beta}\) is the cocoercivity constant of A. It is a composition between an \(\alpha_{1}\)-conic operator and an \(\alpha_{2}\)-averaged operator with \(\alpha_{1}=1.95\) and \(\alpha_{2}=0.5\). To the right is an illustration of a θ-relaxation of the same forward-backward map with \(\theta=0.04\)

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