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Equilibrium programming using proximal-like algorithms

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Differential Equations
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Convex analysis and minimization algorithms
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Penalty-proximal methods in convex programming
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Proximal minimization algorithm withD-functions
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On strong pseudomonotonicity and (semi)strict quasimonotonicity
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Paths to constrained Nash equilibria
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Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
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An interior-proximal method for convex linearly constrained problems and its extension to variational inequalities
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Some properties of generalized proximal point methods for quadratic and linear programming
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Multiplicative iterative algorithms for convex programming
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The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
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Approaches to economic equilibrium
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Mathematical Programming
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Optimizing Methods in Statistics
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Perturbation des méthodes d'optimisation. Applications
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On the subdifferentiability of convex functions
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Monotone Operators and the Proximal Point Algorithm
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Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
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Partial Proximal Minimization Algorithms for Convex Pprogramming
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Entropic Proximal Mappings with Applications to Nonlinear Programming
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Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
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Entropy-Like Proximal Methods in Convex Programming
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Convex Analysis
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Existence and Uniqueness of Equilibrium Points for Concave N-Person Games
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Theory of Industrial Organization.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A modified Halpern-type iteration algorithm for a family of hemi-relatively nonexpansive mappings and systems of equilibrium problems in Banach spaces
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Strongly convergent algorithms by using new adaptive regularization parameter for equilibrium problems
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Fast inertial extragradient algorithms for solving non-Lipschitzian equilibrium problems without monotonicity condition in real Hilbert spaces
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Solving equilibrium and fixed-point problems in Hilbert spaces: A class of strongly convergent Mann-type dual-inertial subgradient extragradient methods
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Novel two-level inertial algorithm for solving hierarchical equilibrium problem
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Strongly convergent inertial subgradient extragradient methods for solving pseudomonotone equilibrium problems and their applications to image and signal recovery
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Two extragradient methods for generalized mixed equilibrium problems, nonexpansive mappings and monotone mappings
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Convergence theorems for equilibrium problems and fixed point problems of a finite family of asymptotically k -strictly pseudocontractive mappings in the intermediate sense
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Existence and iteration for a mixed equilibrium problem and a countable family of nonexpansive mappings in Banach spaces
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A viscosity approximation scheme for finite mixed equilibrium problems and variational inequality problems and fixed point problems
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Relaxed inertial subgradient extragradient methods for equilibrium problems in Hilbert spaces and their applications to image restoration
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Splitting-type method for systems of variational inequalities
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Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems
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Existence and solution methods for equilibria
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Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
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A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
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Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces
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Mixed equilibrium problems and optimization problems
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Strong convergence theorems for a countable family of quasi-Lipschitzian mappings and its applications
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Equilibrium problems in Hadamard manifolds
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Equilibrium problems on Riemannian manifolds with applications
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Two generalized non-monotone explicit strongly convergent extragradient methods for solving pseudomonotone equilibrium problems and applications
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Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems
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Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
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An iterative method for fixed point problems, variational inclusions and generalized equilibrium problems
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An iterative method for nonexpansive semigroups, variational inclusions and generalized equilibrium problems
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A viscosity scheme for mixed equilibrium problems, variational inequality problems and fixed point problems
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Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
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An iterative method of solution for equilibrium and optimization problems
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A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
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A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
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An iterative algorithm for solving fixed point problems, variational inequality problems and mixed equilibrium problems
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Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems
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A viscosity approximation scheme for system of equilibrium problems, nonexpansive mappings and monotone mappings
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A general iterative method for addressing mixed equilibrium problems and optimization problems
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A Douglas–Rachford splitting method for solving equilibrium problems
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A hybrid approximation method for equilibrium and fixed point problems for a monotone mapping and a nonexpansive mapping
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Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
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A viscosity of extragradient approximation method for finding equilibrium problems, variational inequalities and fixed point problems for nonexpansive mappings
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A new hybrid iterative method for mixed equilibrium problems and variational inequality problem for relaxed cocoercive mappings with application to optimization problems
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Strong convergence theorems by hybrid methods for a finite family of nonexpansive mappings and inverse-strongly monotone mappings
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An iterative approximation method for solving a general system of variational inequality problems and mixed equilibrium problems
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Hybrid iterative scheme by a relaxed extragradient method for solutions of equilibrium problems and a general system of variational inequalities with application to optimization
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Strong convergence of the iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems of an infinite family of nonexpansive mappings
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A convergence theorem based on a hybrid relaxed extragradient method for generalized equilibrium problems and fixed point problems of a finite family of nonexpansive mappings
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A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces
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Hybrid pseudoviscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings
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Hybrid algorithm for fixed points of weak relatively nonexpansive mappings and applications
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Strong convergence theorems for solving generalized mixed equilibrium problems and general system of variational inequalities by the hybrid method
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Hybrid extragradient method for general equilibrium problems and fixed point problems in Hilbert space
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Approaching Equilibrium in Parallel
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KRASNOSELSKI–MANN ITERATION FOR HIERARCHICAL FIXED POINTS AND EQUILIBRIUM PROBLEM
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WEAK CONVERGENCE OF AN ITERATIVE SCHEME FOR GENERALIZED EQUILIBRIUM PROBLEMS
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Rapid Growth Paths in Multivalued Dynamical Systems Generated by Homogeneous Convex Stochastic Operators
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Repeated Play of Potential Games
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Gap Functions for Equilibrium Problems
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Reaching Cournot-Walras Equilibrium
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Augmented Lagrangian methods for variational inequality problems
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A proximal augmented Lagrangian method for equilibrium problems
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New extragradient method for a class of equilibrium problems in Hilbert spaces
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Extragradient methods with dual inertial steps for solving equilibrium problems
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Halpern inertial subgradient extragradient algorithm for solving equilibrium problems in Banach spaces
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A new efficient algorithm for finding common fixed points of multivalued demicontractive mappings and solutions of split generalized equilibrium problems in Hilbert spaces
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Iterative regularization methods for solving equilibrium problems
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An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces
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Strong Convergence of an Inexact Proximal Point Algorithm for Equilibrium Problems in Banach Spaces
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