Convergence analysis of new over-relaxed proximal point algorithm frameworks with errors and applications to general \( A\)-monotone nonlinear inclusion forms
DOI10.1016/j.amc.2013.12.028zbMath1410.90154OpenAlexW2028505395MaRDI QIDQ1644046
Publication date: 21 June 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.028
general \(A\)-monotonicitygeneral nonlinear inclusion formgeneral proximal mapping techniquenew over-relaxed proximal point algorithm framework with errorssolvability and convergence analysis
Numerical mathematical programming methods (65K05) Convex programming (90C25) Fixed-point theorems (47H10) Programming in abstract spaces (90C48)
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Cites Work
- Unnamed Item
- General over-relaxed proximal point algorithm involving \(A\)-maximal relaxed monotone mappings with applications
- Perturbed algorithms for solving nonlinear relaxed cocoercive operator equations with general \(A\)-monotone operators in Banach spaces
- General implicit variational inclusion problems based on \(A\)-maximal (\(m\))-relaxed monotonicity (AMRM) frameworks
- Proximal point algorithms and generalized nonlinear variational problems
- Algorithm for solving a new class of generalized nonlinear implicit quasi-variational inclusions in Banach spaces
- A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems
- General \(A\)-monotone operators and perturbed iterations for nonlinear set-valued relaxed cocoercive operator inclusion problems
- Role of relative \(A\)-maximal monotonicity in overrelaxed proximal-point algorithms with Applications
- Variational convergence of a new proximal algorithm for nonlinear general \(A\)-monotone operator equation systems in Banach spaces
- \(H\)-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces.
- Generalized over-relaxed proximal algorithm based ona-maximal monotonicity framework and applications to inclusion problems
- Variational inclusions with a general \(H\)-monotone operator in Banach spaces
- A hybrid proximal point algorithm based on the \((A,\eta )\)-maximal monotonicity framework
- Hybrid inexact proximal point algorithms based on RMM frameworks with applications to variational inclusion problems
- On general over-relaxed proximal point algorithm and applications
- Iterative Algorithms for Nonlinear Operators
- Relatively maximal monotone mappings and applications to general inclusions
- Optimization and nonsmooth analysis
- Monotone Operators and the Proximal Point Algorithm
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
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