A self-adaptive projection method with an inertial technique for split feasibility problems in Banach spaces with applications to image restoration problems
From MaRDI portal
Publication:2000703
DOI10.1007/s11784-019-0684-0zbMath1415.47010OpenAlexW2937942925WikidataQ113106009 ScholiaQ113106009MaRDI QIDQ2000703
Phan Tu Vuong, Prasit Cholamjiak, Yekini Shehu
Publication date: 28 June 2019
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-019-0684-0
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Dynamical technique for split common fixed point problem in Banach spaces ⋮ An extended inertial Halpern-type ball-relaxed \(CQ\) algorithm for multiple-sets split feasibility problem ⋮ Linear approximation method for solving split inverse problems and its applications ⋮ Generalized relaxed inertial method with regularization for solving split feasibility problems in real Hilbert spaces ⋮ A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications ⋮ An accelerate algorithm for the split equality common fixed-point problem of directed operators ⋮ On split generalized equilibrium problem with multiple output sets and common fixed points problem ⋮ Hybrid iterative scheme for variational inequality problem involving pseudo-monotone operator with application in signal recovery ⋮ Novel inertial methods for fixed point problems in reflexive Banach spaces with applications ⋮ An inertial accelerated outer quadratic approximation method for split feasibility problem with application to elastic net ⋮ Unnamed Item ⋮ Inertial-type algorithm for solving split common fixed point problems in Banach spaces ⋮ Global and linear convergence of alternated inertial methods for split feasibility problems ⋮ New inertial relaxed method for solving split feasibilities ⋮ Modified viscosity implicit rules for proximal split feasibility and fixed point problems ⋮ Strong convergence of alternated inertial \(CQ\) relaxed method with application in signal recovery ⋮ The inertial relaxed algorithm with Armijo-type line search for solving multiple-sets split feasibility problem ⋮ Self adaptive inertial relaxed \(CQ\) algorithms for solving split feasibility problem with multiple output sets ⋮ Inertial accelerated algorithms for the split common fixed-point problem of directed operators
Cites Work
- An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems
- Accelerated Mann and CQ algorithms for finding a fixed point of a nonexpansive mapping
- Inertial Douglas-Rachford splitting for monotone inclusion problems
- An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces
- Regularization methods in Banach spaces.
- Solving proximal split feasibility problems without prior knowledge of operator norms
- On the convergence of CQ algorithm with variable steps for the split equality problem
- Split monotone variational inclusions
- Algorithms for the split variational inequality problem
- Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
- Convex functions, monotone operators and differentiability.
- Inertial iterative process for fixed points of certain quasi-nonexpansive mappings
- An inertial forward-backward algorithm for monotone inclusions
- Convergence theorems for inertial KM-type algorithms
- An iterative row-action method for interval convex programming
- A multiprojection algorithm using Bregman projections in a product space
- Convergence of Bregman projection methods for solving consistent convex feasibility problems in reflexive Banach spaces
- Note on the modified relaxation CQ algorithm for the split feasibility problem
- A conjugate gradient like method for \(p\)-norm minimization in functional spaces
- Convergence analysis for the proximal split feasibility problem using an inertial extrapolation term method
- A strong convergence result involving an inertial forward-backward algorithm for monotone inclusions
- On variable-step relaxed projection algorithm for variational inequalities
- Convergence of a splitting inertial proximal method for monotone operators
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Inertial accelerated algorithms for solving a split feasibility problem
- An inertial alternating direction method of multipliers
- Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
- The strong convergence of a KM–CQ-like algorithm for a split feasibility problem
- Matrix p-Norms Are NP-Hard to Approximate If $p\neq1,2,\infty$
- Solving the split feasibility problem without prior knowledge of matrix norms
- A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
- A gradient projection method for solving split equality and split feasibility problems in Hilbert spaces
- Inertial Proximal ADMM for Linearly Constrained Separable Convex Optimization
- An iterative regularization method for the solution of the split feasibility problem in Banach spaces
- Inequalities in Banach spaces with applications
- Monotone Operators and the Proximal Point Algorithm
- Iterative oblique projection onto convex sets and the split feasibility problem
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization
- A self-adaptive projection-type method for nonlinear multiple-sets split feasibility problem
- A New Algorithm for Solving The Multiple-Sets Split Feasibility Problem in Banach Spaces
- Some methods of speeding up the convergence of iteration methods
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
