Three novel two-step proximal-like methods for solving equilibrium and fixed point problems in real Hilbert spaces
DOI10.1007/s40314-022-02088-7zbMath1506.47111OpenAlexW4308074039MaRDI QIDQ2099524
Publication date: 24 November 2022
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-02088-7
strong convergencevariational inequalitiesequilibrium problemfixed point problemLipschitz-type conditionsproximal-type methods
Variational inequalities (49J40) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Equilibrium models and variational inequalities.
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- Equilibrium programming using proximal-like algorithms
- An inertial-like proximal algorithm for equilibrium problems
- Strongly convergent algorithms by using new adaptive regularization parameter for equilibrium problems
- Weak convergence of explicit extragradient algorithms for solving equilibrium problems
- The extragradient algorithm with inertial effects extended to equilibrium problems
- Existence and solution methods for equilibria
- Inertial extragradient algorithms for solving equilibrium problems
- Construction of fixed points of nonlinear mappings in Hilbert space
- Generalized monotone bifunctions and equilibrium problems
- Non-cooperative games
- Accelerated non-monotonic explicit proximal-type method for solving equilibrium programming with convex constraints and its applications
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- Another control condition in an iterative method for nonexpansive mappings
- Modified extragradient algorithms for solving equilibrium problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- New extragradient methods with non-convex combination for pseudomonotone equilibrium problems with applications in Hilbert spaces
- Extragradient algorithms extended to equilibrium problems¶
- Some methods of speeding up the convergence of iteration methods
- Equilibrium points in n -person games
- Existence of an Equilibrium for a Competitive Economy
- Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems
- Convex analysis and monotone operator theory in Hilbert spaces
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
This page was built for publication: Three novel two-step proximal-like methods for solving equilibrium and fixed point problems in real Hilbert spaces