On a generalized proximal point method for solving equilibrium problems in Banach spaces
From MaRDI portal
Publication:714471
DOI10.1016/j.na.2012.07.020zbMath1410.65216OpenAlexW1994325185WikidataQ58048441 ScholiaQ58048441MaRDI QIDQ714471
Regina Sandra Burachik, Gábor Kassay
Publication date: 11 October 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2012.07.020
regularization methodequilibrium problemBregman functionproximal point algorithmnormalized duality mappingtotally convex function
Convex programming (90C25) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)
Related Items
A proximal point method for quasi-equilibrium problems in Hilbert spaces ⋮ Exponential augmented Lagrangian methods for equilibrium problems ⋮ Implementation of augmented Lagrangian methods for equilibrium problems ⋮ On maximal monotonicity of bifunctions on Hadamard manifolds ⋮ Proximal point algorithms for quasiconvex pseudomonotone equilibrium problems ⋮ Locally densely defined equilibrium problems ⋮ Solving non-monotone equilibrium problems via a DIRECT-type approach ⋮ Regularizing with Bregman--Moreau Envelopes ⋮ An outer approximation algorithm for equilibrium problems in Hilbert spaces ⋮ Unnamed Item ⋮ Abstract regularized equilibria: application to Becker's household behavior theory ⋮ An inexact proximal method with proximal distances for quasimonotone equilibrium problems ⋮ Making Augmented Lagrangian Methods Computer Amenable for Equilibrium Problems ⋮ Generalized Bregman envelopes and proximity operators ⋮ The Generalized Bregman Distance ⋮ Existence results for vector equilibrium problems given by a sum of two functions ⋮ On well-posedness for parametric vector quasiequilibrium problems with moving cones. ⋮ Painlevé-Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems ⋮ Well-Posedness for Lexicographic Vector Equilibrium Problems ⋮ Rate of convergence for proximal point algorithms on Hadamard manifolds ⋮ Generalized Proximal Distances for Bilevel Equilibrium Problems ⋮ Bregman proximal mappings and Bregman-Moreau envelopes under relative prox-regularity ⋮ On a Bregman regularized proximal point method for solving equilibrium problems ⋮ An interior proximal linearized method for DC programming based on Bregman distance or second-order homogeneous kernels
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Application of the proximal point method to nonmonotone equilibrium problems
- Convex functions, monotone operators and differentiability.
- On certain conditions for the existence of solutions of equilibrium problems
- Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
- A relaxed version of Bregman's method for convex programming
- An iterative row-action method for interval convex programming
- Proximal minimization algorithm with \(D\)-functions
- Iterative averaging of entropic projections for solving stochastic convex feasibility problems
- Iterative methods of solving stochastic convex feasibility problems and applications
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Coercivity conditions for equilibrium problems
- New existence results for equilibrium problems
- Some properties of generalized proximal point methods for quadratic and linear programming
- A dual view of equilibrium problems
- A characterization of strict convexity of Banach spaces and other uses of duality mappings
- On the maximal monotonicity of subdifferential mappings
- Generalized monotone bifunctions and equilibrium problems
- A Proximal Point Method for the Variational Inequality Problem in Banach Spaces
- On the proximal point method for equilibrium problems in Hilbert spaces
- Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
- Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- Monotone Operators and the Proximal Point Algorithm
- A mixed Hölder and Minkowski inequality
- Proximal Minimization Methods with Generalized Bregman Functions
- On a proximal point method for convex optimization in banach spaces
- A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space
- Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
- Iterative Algorithms for Equilibrium Problems
- A Proximal-Projection Method for Finding Zeros of Set-Valued Operators
- Inexact Proximal Point Methods for Equilibrium Problems in Banach Spaces
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- A note on equilibrium problems with properly quasimonotone bifunctions
