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M. Roble

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Preprint Jul 2026

Exact and Approximate Solvability of Systems Involving Proximity Operators in Hilbert Spaces

Let $\HH$ be a real Hilbert space and let $(f_i)_{i\in I}$ be a finite family of proper, lower semicontinuous, and convex functions on $\HH$. This study investigates the existence and uniqueness of exact solutions to systems involving proximity operators of the form: \ $(\forall i\in I)\ \pr{f_i}(x)=p_i,$ where $(p_i)_...

M. Roble · 0 citations