Equivalent theorems of the convergence between proximal type algorithms
From MaRDI portal
Publication:1021723
DOI10.1016/j.na.2008.10.067zbMath1221.47126OpenAlexW2035860005MaRDI QIDQ1021723
Publication date: 9 June 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.10.067
convergence analysisviscosity approximation methodsweak contractionsBrowder type iterationsHalpern type iterationsRockafellar type proximal point algorithms
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10)
Related Items
On the equivalence between some kinds of implicit and explicit iterations with applications ⋮ Viscosity approximation with weak contractions for fixed point problem, equilibrium problem, and variational inequality problem ⋮ Proximal algorithms for a class of mixed equilibrium problems ⋮ A new modified hybrid steepest-descent by using a viscosity approximation method with a weakly contractive mapping for a system of equilibrium problems and fixed point problems with minimization problems ⋮ Strong convergence of iterative sequences for nonexpansive mappings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximation of fixed points of weakly contractive nonself maps in Banach spaces
- Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings
- Moudafi's viscosity approximations with Meir--Keeler contractions
- Iterative approximation to common fixed points of nonexpansive mapping sequences in reflexive Banach spaces
- Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces
- Viscosity approximative methods to Cesàro means for non-expansive mappings
- Solving variational inequalities involving nonexpansive type mappings
- Iterative selection methods for the common fixed point problems in a Banach space
- On Reich's strong convergence theorems for resolvents of accretive operators
- A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
- A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
- Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces
- Some theorems on weakly contractive maps.
- Viscosity approximation methods for nonexpansive mappings
- Forcing strong convergence of proximal point iterations in a Hilbert space
- Viscosity approximation methods for fixed-points problems
- Asymptotic behavior of contractions in Banach spaces
- Iterative construction of fixed points of nonself-mappings in Banach spaces
- On a Mann type implicit iteration process for continuous pseudo-contractive mappings
- Strong convergence theorems for nonexpansive semigroup in Banach spaces
- A new sufficient condition for the strong convergence of Halpern type iterations
- Viscosity approximation methods for nonexpansive nonself-mappings
- Strong convergence of an iterative method for nonexpansive and accretive operators
- Iterative approximation to common fixed points of a countable family of nonexpansive mappings
- Monotone Operators and the Proximal Point Algorithm
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Convergence of paths for pseudo-contractive mappings in Banach spaces
- Iterative solutions for zeros of accretive operators
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- On Nonlinear Contractions
- Fixed points of nonexpanding maps
- Weak and strong convergence of solutions to accretive operator inclusions and applications
- Extension of subgradient techniques for nonsmooth optimization in Banach spaces
