Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness
DOI10.1080/02331934.2021.1981895OpenAlexW3211365385MaRDI QIDQ5880391
Yekini Shehu, Simeon Reich, Chinedu Izuchukwu
Publication date: 9 March 2023
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2021.1981895
contraction methodproximal algorithmsplit monotone variational inclusion problemLipschitz continuousmonotone opearatorrelaxed inertial method
Variational inequalities (49J40) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- An iterative method for solving split monotone variational inclusion and fixed point problems
- On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm
- Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
- Split monotone variational inclusions
- Algorithms for the split variational inequality problem
- Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and fixed point problems
- An inertial forward-backward algorithm for monotone inclusions
- Convergence theorems for inertial KM-type algorithms
- A multiprojection algorithm using Bregman projections in a product space
- A viscosity iterative technique for split variational inclusion and fixed point problems between a Hilbert space and a Banach space
- Linear regularity and linear convergence of projection-based methods for solving convex feasibility problems
- An inertial method for solving split common fixed point problems
- Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems
- Hybrid iterative method for split monotone variational inclusion problem and hierarchical fixed point problem for a finite family of nonexpansive mappings
- Convergence of a splitting inertial proximal method for monotone operators
- Convergence of a relaxed inertial proximal algorithm for maximally monotone operators
- A strong convergence theorem for a parallel iterative method for solving the split common null point problem in Hilbert spaces
- A new algorithm for solving the split common null point problem in Hilbert spaces
- Convergence of a relaxed inertial forward-backward algorithm for structured monotone inclusions
- The split common null point problem in Banach spaces
- Modified hybrid projection methods for finding common solutions to variational inequality problems
- The extragradient algorithm with inertial effects for solving the variational inequality
- Skew symmetric normal operators
- Proximal algorithm for solving monotone variational inclusion
- An iterative regularization method for the solution of the split feasibility problem in Banach spaces
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Iterative oblique projection onto convex sets and the split feasibility problem
- A generic online acceleration scheme for optimization algorithms via relaxation and inertia
- The Split Common Null Point Problem
- An Introduction to Numerical Analysis
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- A method with inertial extrapolation step for split monotone inclusion problems
- Two projection methods for solving the multiple-set split common null point problem in Hilbert spaces
- Modified extragradient algorithms for solving monotone variational inequalities and fixed point problems
- Two Inertial extragradient viscosity algorithms for solving variational inequality and fixed point problems
- New algorithms for the split variational inclusion problems and application to split feasibility problems
- Hybrid inertial proximal algorithm for the split variational inclusion problem in Hilbert spaces with applications
- Some methods of speeding up the convergence of iteration methods
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- On the Maximality of Sums of Nonlinear Monotone Operators
- Convex analysis and monotone operator theory in Hilbert spaces
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
This page was built for publication: Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness