An algorithm for approximating a common solution of variational inequality and convex minimization problems
From MaRDI portal
Publication:5860823
DOI10.1080/02331934.2020.1777995OpenAlexW3035867695MaRDI QIDQ5860823
Publication date: 23 November 2021
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2020.1777995
Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)
Related Items
An algorithm for approximating a common solution of some nonlinear problems in Banach spaces with an application ⋮ A Tseng-type algorithm for approximating zeros of monotone inclusion and \(J\)-fixed-point problems with applications ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping
- Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
- Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- An iterative approximation method for a common fixed point of two pseudocontractive mappings
- Some iterative methods for finding fixed points and for solving constrained convex minimization problems
- An extragradient method for solving split feasibility and fixed point problems
- Duality fixed point and zero point theorems and applications
- Local expansions and accretive mappings
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Iterative methods for solving variational inequalities in Euclidean space
- Strong convergence theorems for maximal monotone mappings in Banach spaces
- The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
- Extension problems for accretive sets in Banach spaces
- Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem
- A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
- Fixed point of strong duality pseudocontractive mappings and applications
- Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems
- Geometric properties of Banach spaces and nonlinear iterations
- On some non-linear elliptic differential functional equations
- An example on the Mann iteration method for Lipschitz pseudocontractions
- Outer approximation methods for solving variational inequalities in Hilbert space
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Iterative Algorithms for Nonlinear Operators
- Nonlinear Ill-posed Problems of Monotone Type
- Inequalities in Banach spaces with applications
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- A modified Korpelevich's method convergent to the minimum-norm solution of a variational inequality
- Systems of variational inequalities with hierarchical variational inequality constraints for Lipschitzian pseudocontractions
- Variational inequalities
- Fixed points of nonexpanding maps
- Nonlinear mappings of nonexpansive and accretive type in Banach spaces
- Convex Analysis
- On the Maximality of Sums of Nonlinear Monotone Operators