A self adaptive method for solving a class of bilevel variational inequalities with split variational inequality and composed fixed point problem constraints in Hilbert spaces
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Publication:6135319
DOI10.3934/naco.2021046zbMath1522.47089OpenAlexW3211765059MaRDI QIDQ6135319
Akindele A. Mebawondu, Hammed Abass, Francis Akutsah, Ojen K. Narain
Publication date: 24 August 2023
Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/naco.2021046
strong convergencesplit feasibility problemfixed point problembilevel variational inequalitysplit variational inequality probleminertial iterative scheme
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25)
Cites Work
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- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
- Approximation of zeros of inverse strongly monotone operators in Banach spaces
- Algorithms for the split variational inequality problem
- A parallel extragradient-like projection method for unrelated variational inequalities and fixed point problems
- Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
- Regularized and inertial algorithms for common fixed points of nonlinear operators
- Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
- A modified projected gradient method for monotone variational inequalities
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- A note on alternating projections in Hilbert space
- Weak convergence of iterative methods for solving quasimonotone variational inequalities
- Strong convergence theorems for solving variational inequality problems with pseudo-monotone and non-Lipschitz operators
- An algorithm for a class of bilevel variational inequalities with split variational inequality and fixed point problem constraints
- Some results of variational inclusion problems and fixed point problems with applications
- Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
- Some extragradient-viscosity algorithms for solving variational inequality problems and fixed point problems
- The multiple-sets split feasibility problem and its applications for inverse problems
- VISCOSITY APPROXIMATION METHOD FOR NONEXPANSIVE NONSELF-MAPPING AND VARIATIONAL INEQUALITY
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
- 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
