Solving Composite Monotone Inclusions in Reflexive Banach Spaces by Constructing Best Bregman Approximations from Their Kuhn-Tucker Set

摘要: We introduce the first operator splitting method for composite monotone inclusions outside of Hilbert spaces. The proposed primal-dual constructs iteratively best Bregman approximation to an arbitrary point from Kuhn-Tucker set a inclusion. Strong convergence is established in reflexive Banach spaces without requiring additional restrictions on operators or knowledge norms linear involved model. are activated via distance-based resolvent operators. novel even Euclidean spaces, where it provides alternative usual proximal methods based standard distance.