Effective rates for iterations involving Bregman strongly nonexpansive operators
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Publication:6661769
DOI10.1007/S11228-024-00736-0MaRDI QIDQ6661769
Nicholas Pischke, Ulrich Kohlenbach
Publication date: 13 January 2025
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
maximal monotone operatorsLegendre functionsproof miningBregman projectionsBregman strongly nonexpansive mappings
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Functionals in proof theory (03F10)
Cites Work
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- Halpern-Mann's iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications
- Right Bregman nonexpansive operators in Banach spaces
- On the quantitative asymptotic behavior of strongly nonexpansive mappings in Banach and geodesic spaces
- Fixed point theory for a class of generalized nonexpansive mappings
- Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Compositions and convex combinations of Bregman weakly relatively nonexpansive operators in reflexive Banach spaces
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings
- Monotone (nonlinear) operators in Hilbert space
- On uniformly convex functionals
- An iterative approach to quadratic optimization
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
- Strong convergence of modified Mann iterations
- Bregman strongly nonexpansive operators in reflexive Banach spaces
- Iterative methods for approximating fixed points of Bregman nonexpansive operators
- Bregman forward-backward operator splitting
- Abstract strongly convergent variants of the proximal point algorithm
- Quantitative results for Halpern iterations of nonexpansive mappings
- Forward-backward splitting with Bregman distances
- Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Characterization of the subdifferentials of convex functions
- Nonlinear maximal monotone operators in Banach space
- On the maximal monotonicity of subdifferential mappings
- Approximation of common fixed points of strongly nonexpansive sequences in a Banach space
- On modified Halpern and Tikhonov-Mann iterations
- Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- Uniformly convex functions on Banach spaces
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Variational Analysis
- Bregman Monotone Optimization Algorithms
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Quantitative results on Fejér monotone sequences
- Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces
- Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
- A Logical Uniform Boundedness Principle for Abstract Metric and Hyperbolic Spaces
- A Rate of Metastability for the Halpern Type Proximal Point Algorithm
- Quadratic rates of asymptotic regularity for the Tikhonov–Mann iteration
- PROOF-THEORETIC METHODS IN NONLINEAR ANALYSIS
- Norm convergence of multiple ergodic averages for commuting transformations
- Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
- Nonlinear monotone operators and convex sets in Banach spaces
- Level Sets and Continuity of Conjugate Convex Functions
- Convex Analysis
- On Conjugate Convex Functions
- Convex analysis and monotone operator theory in Hilbert spaces
- On uniformly convex functions
- Proof mining for the dual of a Banach space with extensions for uniformly Fréchet differentiable functions
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