On a generalized proximal point method for solving equilibrium problems in Banach spaces
type: Item
instance of: scholarly article
title: On a generalized proximal point method for solving equilibrium problems in Banach spaces
zbMATH Open document ID: 1410.65216
author: R. S. Burachik
author: Gábor Kassay
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-10-11T00:00:00Z
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 90C25
zbMATH DE Number: 6092717
zbMATH Keywords: Bregman function
zbMATH Keywords: equilibrium problem
zbMATH Keywords: normalized duality mapping
zbMATH Keywords: proximal point algorithm
zbMATH Keywords: regularization method
zbMATH Keywords: totally convex function
Wikidata QID: Q58048441
MaRDI profile type: Publication
full work available at URL: j.na.2012.07.020
OpenAlex ID: W1994325185
cites work: Application of the proximal point method to nonmonotone equilibrium problems
cites work: A note on equilibrium problems with properly quasimonotone bifunctions
cites work: Coercivity conditions for equilibrium problems
cites work: Generalized monotone bifunctions and equilibrium problems
cites work: A dual view of equilibrium problems
cites work: Q4366516
cites work: Q4057217
cites work: On certain conditions for the existence of solutions of equilibrium problems
cites work: New existence results for equilibrium problems
cites work: Iterative Algorithms for Equilibrium Problems
cites work: Monotone Operators and the Proximal Point Algorithm
cites work: Inexact Proximal Point Methods for Equilibrium Problems in Banach Spaces
cites work: On the proximal point method for equilibrium problems in Hilbert spaces
cites work: Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
cites work: Q5580053
cites work: An iterative row-action method for interval convex programming
cites work: Q5750347
cites work: A relaxed version of Bregman's method for convex programming
cites work: Proximal minimization algorithm with \(D\)-functions
cites work: Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
cites work: Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
cites work: Some properties of generalized proximal point methods for quadratic and linear programming
cites work: Proximal Minimization Methods with Generalized Bregman Functions
cites work: A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space
cites work: Iterative methods of solving stochastic convex feasibility problems and applications
cites work: On a proximal point method for convex optimization in banach spaces
cites work: Q4894797
cites work: Q3654221
cites work: Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
cites work: Iterative averaging of entropic projections for solving stochastic convex feasibility problems
cites work: Totally convex functions for fixed points computation and infinite dimensional optimization
cites work: Q4718793
cites work: Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
cites work: Q4336952
cites work: A mixed Hölder and Minkowski inequality
cites work: Total convexity for powers of the norm in uniformly convex Banach spaces
cites work: A Proximal-Projection Method for Finding Zeros of Set-Valued Operators
cites work: A proximal point method for the variational inequality problem in Banach spaces
cites work: Nonlinear Differential Equations of Monotone Types in Banach Spaces
cites work: Convex functions, monotone operators and differentiability.
cites work: On the maximal monotonicity of subdifferential mappings
cites work: A characterization of strict convexity of Banach spaces and other uses of duality mappings
DOI: 10.1016/J.NA.2012.07.020
description: scientific article; zbMATH DE number 6092717