Reflected iterative method for non-monotone equilibrium problems with applications to Nash-Cournot equilibrium models
From MaRDI portal
Publication:2148156
DOI10.1007/s11067-022-09562-zOpenAlexW4226372398MaRDI QIDQ2148156
Qiao-Li Dong, Yekini Shehu, Lulu Liu, Xiaolong Qin
Publication date: 21 June 2022
Published in: Networks and Spatial Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11067-022-09562-z
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A generalized Nash equilibrium model of market coupling in the European power system
- Projection algorithms for solving nonmonotone equilibrium problems in Hilbert space
- Projection on the intersection of convex sets
- Refinements of existence results for relaxed quasimonotone equilibrium problems
- Iterative methods for solving monotone equilibrium problems via dual gap functions
- Gap functions for quasi-equilibria
- Dual extragradient algorithms extended to equilibrium problems
- Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications
- A stochastic multi-agent optimization model for energy infrastructure planning under uncertainty in an oligopolistic market
- On the convergence of splitting proximal methods for equilibrium problems in Hilbert spaces
- The interior proximal extragradient method for solving equilibrium problems
- Equilibrium models and variational inequalities.
- Regularized and inertial algorithms for common fixed points of nonlinear operators
- Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibrium model
- Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23--July 2, 2000
- Gap functions for equilibrium problems
- An inertial type iterative method with Armijo linesearch for nonmonotone equilibrium problems
- Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
- Projection extragradient algorithms for solving nonmonotone and non-Lipschitzian equilibrium problems in Hilbert spaces
- Existence and solution methods for equilibria
- A new class of hybrid extragradient algorithms for solving quasi-equilibrium problems
- A new double projection algorithm for variational inequalities
- Three Strong Convergence Theorems Regarding Iterative Methods for Solving Equilibrium Problems in Reflexive Banach Spaces
- On the proximal point method for equilibrium problems in Hilbert spaces
- A relaxed projection method for finite-dimensional equilibrium problems
- Stability property of a class of variational inequalities
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- An extragradient-type method for solving nonmonotone quasi-equilibrium problems
- Iterative Algorithms for Equilibrium Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Novel Hybrid Methods for Pseudomonotone Equilibrium Problems and Common Fixed Point Problems
- Extragradient algorithms extended to equilibrium problems¶
- On the generalization of a direct method of the calculus of variations
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Convex analysis and monotone operator theory in Hilbert spaces
- Equilibrium problems: nonsmooth optimization and variational inequality models
