Cover Image

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Atenas, Felipe, Bauschke, Heinz H., Dao, Minh N., Tam, Matthew K.
Format:	Preprint
Published:	2025
Subjects:	Optimization and Control 47H05, 47H09, 47N10, 65K05, 47H04
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Variable Stepsize Distributed Forward-Backward Splitting Methods as Relocated Fixed-Point Iterations
by: Atenas, Felipe, et al.
Published: (2026)

Linear convergence of relocated fixed-point iterations
by: Atenas, Felipe, et al.
Published: (2025)

Graph splitting methods: Fixed points and strong convergence for linear subspaces
by: Aragón-Artacho, Francisco J., et al.
Published: (2025)

Baillon-Bruck-Reich revisited: divergent-series parameters and strong convergence in the linear case
by: Bartz, Sedi, et al.
Published: (2025)

Understanding FISTA's weak convergence: A step-by-step introduction to the 2025 milestone
by: Bauschke, Heinz H., et al.
Published: (2026)

On a result by Baillon, Bruck, and Reich
by: Bauschke, Heinz H., et al.
Published: (2024)

On Opial's Lemma
by: Arakcheev, Aleksandr, et al.
Published: (2025)

Boţ-Nguyen Acceleration, Weighted Mean Ergodic Iteration, and the Beta-Binomial Distribution
by: Bauschke, Heinz H., et al.
Published: (2026)

Splitting the Forward-Backward Algorithm: A Full Characterization
by: Åkerman, Anton, et al.
Published: (2025)

Linear rates of asymptotic regularity for Halpern-type iterations
by: Cheval, Horaţiu, et al.
Published: (2023)

An inertial self-adaptive algorithm for solving split feasibility problems and fixed point problems in the class of demicontractive mappings
by: Berinde, Vasile
Published: (2024)

Distributed accelerated proximal conjugate gradient methods for multi-agent constrained optimization problems
by: Gebrie, Anteneh Getachew
Published: (2023)

Resolvent Compositions for Positive Linear Operators
by: Cornejo, Diego J.
Published: (2025)

A hybrid method for countable equilibrium, variational inequality and maximal monotone inclusion problems with fixed point constraints
by: Uba, Markjoe O.
Published: (2026)

Recent developments in the fixed point theory of enriched contractive mappings. A survey
by: Berinde, Vasile, et al.
Published: (2024)

Rates of (T-)asymptotic regularity of the generalized Krasnoselskii-Mann-type iteration
by: Firmino, Paulo, et al.
Published: (2025)

Computing the resolvent of the sum of maximally monotone operators with the averaged alternating modified reflections algorithm
by: Artacho, F. J. Aragón, et al.
Published: (2018)

Representation formulas for maximal monotone operators of type (D) in Banach spaces whose dual spaces are strictly convex
by: Tran, Nguyen B., et al.
Published: (2023)

A hybrid scheme for fixed points of a countable family of generalized non-expansive-type maps and generalized mixed equilibrium problems
by: Nwokoro, Peter U., et al.
Published: (2025)

Fast Krasnoselskii-Mann Method with Overrelaxation and Preconditioners
by: Boţ, Radu I., et al.
Published: (2024)

Quantitative asymptotic regularity and $T$-asymptotic regularity for the inexact generalized Halpern iteration
by: Dumitru, Nicoleta, et al.
Published: (2026)

Quantitative asymptotic regularity of the VAM iteration with error terms for m-accretive operators in Banach spaces
by: Firmino, Paulo, et al.
Published: (2024)

Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator
by: Bauschke, Heinz H., et al.
Published: (2024)

Convergence Analyses of Davis-Yin Splitting via Scaled Relative Graphs II: Convex Optimization Problems
by: Yi, Soheun, et al.
Published: (2022)

On a Lemma by Brézis and Haraux
by: Bùi, Minh N.
Published: (2025)

The Problem of Split Equality Fixed-Point and its Applications
by: Mohammed, Lawan Bulama, et al.
Published: (2024)

On the Maximal Monotone Operators in Hadamard Spaces
by: Moslemipour, Ali, et al.
Published: (2021)

A decentralised forward-backward-type algorithm with network-independent heterogenous agent step sizes
by: Tam, Matthew K, et al.
Published: (2025)

Quantitative results on a generalized viscosity approximation method
by: Firmino, Paulo, et al.
Published: (2025)

New operator designs for Halpern iterations with explicit rates under Hölder error bounds
by: Barros, Pablo, et al.
Published: (2026)

The splitting algorithms by Ryu, by Malitsky-Tam, and by Campoy applied to normal cones of linear subspaces converge strongly to the projection onto the intersection
by: Bauschke, Heinz H., et al.
Published: (2022)

Random Nonlinear Fusion Frames from Averaged Operator Iterations
by: Tian, James
Published: (2025)

Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces
by: Berinde, Vasile
Published: (2024)

Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions
by: Amara, Khaled Ben, et al.
Published: (2022)

On the optimal relaxation parameter of graph-based splitting methods for subspaces
by: Aragón-Artacho, Francisco J., et al.
Published: (2026)

Convergence analysis for pseudo-monotone variational inequality problem involving projections onto a moving ball
by: Singh, Watanjeet, et al.
Published: (2025)

Strong convergence for the modified Mann's iteration of $λ$-strict pseudocontraction
by: Song, Yisheng, et al.
Published: (2013)

Linear Convergence of Resolvent Splitting with Minimal Lifting and its Application to a Primal-Dual Algorithm
by: Simi, Farhana A., et al.
Published: (2024)

Novel Perturbed b-Metric and Perturbed Extended b-Metric Spaces with Banach-Type Fixed Point Theorem
by: Moussaoui, Abdelhamid
Published: (2025)

Existence Results and KKT Optimality Conditions for Generalized Quasiconvex Functions
by: Alizadeh, M. H., et al.
Published: (2026)