Effective metastability for a method of alternating resolvents

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functionals in proof theory (03F10)

Cites Work

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On the method of alternating resolvents
Inexact Halpern-type proximal point algorithm
Hilbertian convex feasibility problem: Convergence of projection methods
The asymptotic behavior of the composition of two resolvents
Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
Convergence of generalized proximal point algorithms
Approximating solutions of maximal monotone operators in Hilbert spaces
Quantitative results on a Halpern-type proximal point algorithm
Metastability of the proximal point algorithm with multi-parameters
On the removal of weak compactness arguments in proof mining
Quantitative results for Halpern iterations of nonexpansive mappings
The primes contain arbitrarily long arithmetic progressions
Iterative Algorithms for Nonlinear Operators
Local stability of ergodic averages
Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees
A quantitative mean ergodic theorem for uniformly convex Banach spaces
Strongly majorizable functionals of finite type: A model for barrecursion containing discontinuous functionals
The Method of Alternating Resolvents Revisited
A Rate of Metastability for the Halpern Type Proximal Point Algorithm
PROOF-THEORETIC METHODS IN NONLINEAR ANALYSIS
An Application of Proof Mining to the Proximal Point Algorithm in CAT(0) Spaces
Norm convergence of multiple ergodic averages for commuting transformations
Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
Fixed points of nonexpanding maps
Convex analysis and monotone operator theory in Hilbert spaces

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