A modification of the Arrow-Hurwicz method for search of saddle points

From MaRDI portal
Publication:1156088

DOI10.1007/BF01141092zbMath0467.90081OpenAlexW2081985785MaRDI QIDQ1156088

Leonid Denisovich Popov

Publication date: 1981

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01141092




Related Items

Some Extragradient Methods for Solving Variational Inequalities Using Bregman Projection and Fixed Point Techniques in Reflexive Banach SpacesNew First-Order Algorithms for Stochastic Variational InequalitiesA Novel Algorithm with Self-adaptive Technique for Solving Variational Inequalities in Banach SpacesA Bregman subgradient extragradient method with self-adaptive technique for solving variational inequalities in reflexive Banach spacesThe inertial iterative extragradient methods for solving pseudomonotone equilibrium programming in Hilbert spacesExtragradient and extrapolation methods with generalized Bregman distances for saddle point problemsOn solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraintsSTRONG CONVERGENCE OF MULTI-PARAMETER PROJECTION METHODS FOR VARIATIONAL INEQUALITY PROBLEMSA splitting primal-dual proximity algorithm for solving composite optimization problemsAdaptive two-stage Bregman method for variational inequalitiesPotential Function-Based Framework for Minimizing Gradients in Convex and Min-Max OptimizationAn efficient projection-type method for monotone variational inequalities in Hilbert spacesInertial version of generalized projected reflected gradient methodA new low-cost feasible projection algorithm for pseudomonotone variational inequalitiesFinite convergence of extragradient-type methods for solving variational inequalities under weak sharp conditionAdaptive extraproximal algorithm for the equilibrium problem in Hadamard spacesA fully adaptive method for variational inequalities with quasi-monotonicityTransformed primal-dual methods for nonlinear saddle point systemsUnnamed ItemAn adaptive block iterative process for a class of multiple sets split variational inequality problems and common fixed point problems in Hilbert spacesA New Two-Step Proximal Algorithm of Solving the Problem of Equilibrium ProgrammingSelf-adaptive gradient projection algorithms for variational inequalities involving non-Lipschitz continuous operatorsRiemannian Hamiltonian Methods for Min-Max Optimization on ManifoldsA unified stochastic approximation framework for learning in gamesOptimal analysis of method with batching for monotone stochastic finite-sum variational inequalitiesUnnamed ItemNo-regret dynamics in the Fenchel game: a unified framework for algorithmic convex optimizationBregman-Golden ratio algorithms for variational inequalitiesA modified generalized version of projected reflected gradient method in Hilbert spacesSmooth monotone stochastic variational inequalities and saddle point problems: a surveyA simple projection method for solving quasimonotone variational inequality problemsFrom Halpern's fixed-point iterations to Nesterov's accelerated interpretations for root-finding problemsA modified Tseng's algorithm with extrapolation from the past for pseudo-monotone variational inequalitiesStrongly convergent inertial forward-backward-forward algorithm without on-line rule for variational inequalitiesA Forward-Backward Splitting Method for Monotone Inclusions Without CocoercivityModified Stochastic Extragradient Methods for Stochastic Variational InequalityGolden ratio algorithms for variational inequalitiesUnnamed ItemConvergence of a two-stage proximal algorithm for the equilibrium problem in Hadamard spacesAn adaptive two-stage proximal algorithm for equilibrium problems in Hadamard spacesConvergence Rate of $\mathcal{O}(1/k)$ for Optimistic Gradient and Extragradient Methods in Smooth Convex-Concave Saddle Point ProblemsA hybrid method without extrapolation step for solving variational inequality problemsForward-reflected-backward method with variance reductionStrengthened splitting methods for computing resolventsProximal extrapolated gradient methods for variational inequalitiesStrong convergence of a double projection-type method for monotone variational inequalities in Hilbert spacesConvergence analysis of a new algorithm for strongly pseudomontone equilibrium problemsUnnamed ItemPrimal-dual splitting method for high-order model with application to image restorationVariational inequality over the set of common solutions of a system of bilevel variational inequality problem with applicationsWeak convergence of explicit extragradient algorithms for solving equilibrium problemsSPARSE TEMPLATE-BASED VARIATIONAL IMAGE SEGMENTATIONR-linear convergence analysis of inertial extragradient algorithms for strongly pseudo-monotone variational inequalitiesNew inertial forward-backward type for variational inequalities with quasi-monotonicityProjected Reflected Gradient Methods for Monotone Variational InequalitiesConvergence of the method of extrapolation from the past for variational inequalities in uniformly convex Banach spacesConvergence of the operator extrapolation method for variational inequalities in Banach spacesTseng’s Algorithm with Extrapolation from the past Endowed with Variable Metrics and Error Terms



Cites Work