Minimization of Tikhonov Functionals in Banach Spaces

Figure 1

Geometry of the problem. The iterates 𝑥_𝑛 approach 𝑥^† as long as Δ₂(𝑥_𝑛,𝑥^†)≥𝜖. The auxiliary number 𝜖 is chosen such that, if the iterates enter the Bregman ball with radius 𝜀_aim around 𝑥^†, the following iterates stay in that ball.