A new self adaptive Tseng's extragradient method with double-projection for solving pseudomonotone variational inequality problems in Hilbert spaces
From MaRDI portal
Publication:6106120
DOI10.1515/ijnsns-2021-0028OpenAlexW3216182721MaRDI QIDQ6106120
Xiao-Xiao Li, Qiao-Li Dong, Zhongbing Xie, Gang Cai
Publication date: 27 June 2023
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2021-0028
strong convergencevariational inequalitypseudomonotone operatorinertial methodTseng's extragradient method
Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inertial Douglas-Rachford splitting for monotone inclusion problems
- An inertial Tseng's type proximal algorithm for nonsmooth and nonconvex optimization problems
- A hybrid method without extrapolation step for solving variational inequality problems
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Approximation of zeros of inverse strongly monotone operators in Banach spaces
- Algorithms for the split variational inequality problem
- Pseudo-monotone complementarity problems in Hilbert space
- Combined relaxation method for generalized variational inequalities
- Modified subgradient extragradient method for variational inequality problems
- New strong convergence theorem of the inertial projection and contraction method for variational inequality problems
- A strong convergence theorem for Tseng's extragradient method for solving variational inequality problems
- Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems
- Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
- On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems
- Convergence of an extragradient-type method for variational inequality with applications to optimal control problems
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
- Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- A New Projection Method for Variational Inequality Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Projected Reflected Gradient Methods for Monotone Variational Inequalities
- A Primal-Dual Splitting Algorithm for Finding Zeros of Sums of Maximal Monotone Operators
- A Douglas--Rachford Type Primal-Dual Method for Solving Inclusions with Mixtures of Composite and Parallel-Sum Type Monotone Operators
