Three-step methods for nonexpansive mappings and variational inequalities
From MaRDI portal
Publication:883865
DOI10.1016/j.amc.2006.08.088zbMath1128.65050OpenAlexW2071028587MaRDI QIDQ883865
Zhen Yu Huang, Muhammad Aslam Noor
Publication date: 12 June 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.088
Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37)
Related Items
S-iterative algorithm for solving variational inequalities ⋮ Iterative algorithms of generalized nonexpansive mappings and monotone operators with application to convex minimization problem ⋮ An explicit projection method for a system of nonlinear variational inequalities with different \((\gamma ,r)\)-cocoercive mappings ⋮ Three-step iterations for variational inequalities and nonexpansive mappings ⋮ The Wiener-Hopf equation technique for solving general nonlinear regularized nonconvex variational inequalities ⋮ Perturbed projection and iterative algorithms for a system of general regularized nonconvex variational inequalities ⋮ General variational inequalities and nonexpansive mappings ⋮ Iterative algorithm with mixed errors for solving a new system of generalized nonlinear variational-like inclusions and fixed point problems in Banach spaces ⋮ Algorithms for solutions of extended general mixed variational inequalities and fixed points ⋮ Generalized nearly asymptotically nonexpansive mappings and a system of variational inclusions: iterative schemes and convergence analysis ⋮ System of general variational inequalities involving different nonlinear operators related to fixed point problems and its applications ⋮ Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach ⋮ Strong convergence theorems with a Noor-type iterative scheme in convex metric spaces ⋮ Algorithms for solving system of extended general variational inclusions and fixed points problems ⋮ Three-step iterations for nonexpansive mappings and inverse-strongly monotone mappings ⋮ Resolvent algorithms for system of generalized nonlinear variational inclusions and fixed point problems ⋮ Weak and strong convergence theorems for countable Lipschitzian mappings and its applications ⋮ Fixed point problems and a system of generalized nonlinear mixed variational inequalities ⋮ An iteration method for common solution of a system of equilibrium problems in Hilbert spaces ⋮ On general mixed variational inequalities ⋮ Some iterative schemes for general mixed variational inequalities ⋮ Wiener-Hopf equation technique for variational inequalities and nonexpansive mappings ⋮ Some new unified iteration schemes with errors for nonexpansive mappings and variational inequalities ⋮ Some resolvent iterative methods for variational inclusions and nonexpansive mappings ⋮ Weak and strong convergence theorems of an implicit iteration process for a countable family of nonexpansive mappings
Cites Work
- Unnamed Item
- Unnamed Item
- Generalized system for relaxed cocoercive variational inequalities and projection methods
- Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23--July 2, 2000
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- New approximation schemes for general variational inequalities
- Some algorithms for general monotone mixed variational inequalities
- Some developments in general variational inequalities
- Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
