A totally relaxed, self-adaptive subgradient extragradient method for variational inequality and fixed point problems in a Banach space
From MaRDI portal
Publication:2113846
DOI10.1515/cmam-2020-0174zbMath1482.65097OpenAlexW3206707371MaRDI QIDQ2113846
T. O. Alakoya, Adeolu Taiwo, Oluwatosin Temitope Mewomo, Qiao-Li Dong, Lateef Olakunle Jolaoso
Publication date: 14 March 2022
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2020-0174
variational inequalitysubgradient methodHammerstein equationnonexpansive mappingsextragradient methodtotal relaxed
Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Relaxed inertial methods for solving split variational inequality problems without product space formulation ⋮ On split monotone variational inclusion problem with multiple output sets with fixed point constraints
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces
- Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities
- Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
- A modified subgradient extragradient method for solving monotone variational inequalities
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Korpelevich's method for variational inequality problems in Banach spaces
- Algorithms for the split variational inequality problem
- A new approximation scheme for solving various split inverse problems
- Acceleration of multiplicative iterative algorithms for image deblurring by duality maps in Banach spaces
- Existence and multiplicity of non-negative solutions for systems of perturbed Hammerstein integral equations
- Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem
- An inertial type iterative method with Armijo linesearch for nonmonotone equilibrium problems
- Strong convergence for gradient projection method and relatively nonexpansive mappings in Banach spaces
- Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces
- Strong convergence theorems for finite families of pseudomonotone equilibrium and fixed point problems in Banach spaces
- Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive multivalued mappings
- An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems
- An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type mappings
- A modified inertial subgradient extragradient method for solving variational inequalities
- Single projection algorithm for variational inequalities in Banach spaces with application to contact problem
- A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods
- Fast and simple Bregman projection methods for solving variational inequalities and related problems in Banach spaces
- Inertial-type algorithm for solving split common fixed point problems in Banach spaces
- Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity
- A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem
- Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces
- Weak convergence of a projection algorithm for variational inequalities in a Banach space
- Geometric properties of Banach spaces and nonlinear iterations
- Positive solvability of systems of nonlinear Hammerstein integral equations
- A parallel combination extragradient method with Armijo line searching for finding common solutions of finite families of equilibrium and fixed point problems
- Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces
- Viscosity approximation method for solving the multiple-set split equality common fixed-point problems for quasi-pseudocontractive mappings in Hilbert spaces
- Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
- Inequalities in Banach spaces with applications
- Existence theorems for nonlinear integral equations of Hammerstein type
- Monotone Operators and the Proximal Point Algorithm
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Totally relaxed, self-adaptive algorithm for solving variational inequalities over the intersection of sub-level sets
- Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Banach spaces
- Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems
- Some new results about Hammerstein equations
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- An extragradient algorithm for split generalized equilibrium problem and the set of fixed points of quasi-φ-nonexpansive mappings in Banach spaces
- Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems
- An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions
- Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space
- Strong convergence theorem for fixed points of relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces
- Some Extragradient Algorithms for Variational Inequalities
- Fixed points of nonexpanding maps
- On the Variational Method for the Existence of Solutions of Nonlinear Equations of Hammerstein Type
