Inertial Tseng's extragradient method for solving variational inequality problems of pseudo-monotone and non-Lipschitz operators
From MaRDI portal
Publication:2086955
DOI10.3934/jimo.2021095zbMath1505.47078OpenAlexW3162166937MaRDI QIDQ2086955
Gang Cai, Yekini Shehu, Olaniyi Samuel Iyiola
Publication date: 26 October 2022
Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jimo.2021095
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Self-adaptive subgradient extragradient-type methods for solving variational inequalities ⋮ Inertial extragradient type method for mixed variational inequalities without monotonicity ⋮ New outer proximal methods for solving variational inequality problems ⋮ A generalized proximal point algorithm with new step size update for solving monotone variational inequalities in real Hilbert spaces ⋮ Modified inertial subgradient extragradient method for equilibrium problems ⋮ A modified generalized version of projected reflected gradient method in Hilbert spaces ⋮ A relaxed inertial factor of the modified subgradient extragradient method for solving pseudo monotone variational inequalities in Hilbert spaces
Cites Work
- 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
- Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng's extragradient method
- A hybrid method without extrapolation step for solving variational inequality problems
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Algorithms for the split variational inequality problem
- Iterative method with inertial for variational inequalities in Hilbert spaces
- Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- Convergence of the modified extragradient method for variational inequalities with non-Lipschitz operators
- Convergence theorems for inertial KM-type algorithms
- Pseudo-monotone complementarity problems in Hilbert space
- An iterative algorithm for the variational inequality problem
- Combined relaxation methods for variational inequalities
- New extragradient methods for solving variational inequality problems and fixed point problems
- Modified Tseng's extragradient algorithms for variational inequality problems
- Weak and strong convergence theorems for variational inequality problems
- Convergence analysis for the proximal split feasibility problem using an inertial extrapolation term method
- Inertial projection and contraction algorithms for variational inequalities
- Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities
- Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems
- Modified subgradient extragradient method for variational inequality problems
- Iterative method with inertial terms for nonexpansive mappings: applications to compressed sensing
- New strong convergence theorem of the inertial projection and contraction method for variational inequality problems
- Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
- A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods
- The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces
- A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem
- Inertial extragradient algorithms for strongly pseudomonotone variational inequalities
- Two simple projection-type methods for solving variational inequalities
- 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
- Inertial Krasnosel'skiǐ-Mann type hybrid algorithms for solving hierarchical fixed point problems
- Strong convergence of extragradient methods with a new step size for solving variational inequality problems
- Accelerated subgradient extragradient methods for variational inequality problems
- On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems
- A new method for solving split variational inequality problems without co-coerciveness
- INEXACT VERSIONS OF PROXIMAL POINT AND AUGMENTED LAGRANGIAN ALGORITHMS IN BANACH SPACES
- Iterative Algorithms for Nonlinear Operators
- 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
- Single projection method for pseudo-monotone variational inequality in Hilbert spaces
- Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space
- Modified Projection-Type Methods for Monotone Variational Inequalities
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems
- Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space
- 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
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
