Proximal Methods with Penalization Effects in Banach Spaces

DOI10.1081/NFA-120034119zbMath1062.90066OpenAlexW1966675756MaRDI QIDQ3157819

Rolando Gárciga Otero, Alfredo Noel Iusem

Publication date: 19 January 2005

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120034119

zbMATH Keywords

Banach spacesproximal point method

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items

Some new extragradient-like methods for generalized equilibrium problems, fixed point problems and variational inequality problems ⋮ A new approximation scheme combining the viscosity method with extragradient method for mixed equilibrium problems ⋮ Hybrid extragradient method for generalized mixed equilibrium problems and fixed point problems in Hilbert space ⋮ Hybrid extragradient iterative algorithms for variational inequalities, variational inclusions, and fixed-point problems ⋮ Mann-type algorithms for variational inequality problems and fixed point problems ⋮ Two extragradient methods for generalized mixed equilibrium problems, nonexpansive mappings and monotone mappings ⋮ Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization ⋮ Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems ⋮ Bregman functions and auxiliary problem principle ⋮ WEAK CONVERGENCE OF AN ITERATIVE SCHEME FOR GENERALIZED EQUILIBRIUM PROBLEMS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplicative iterative algorithms for convex programming
• Proximal minimization algorithm with \(D\)-functions
• On some properties of generalized proximal point methods for variational inequalities
• Steepest descent methods for multicriteria optimization.
• Totally convex functions for fixed points computation and infinite dimensional optimization
• A proximal point method for nonsmooth convex optimization problems in Banach spaces
• Some properties of generalized proximal point methods for quadratic and linear programming
• Local boundedness of nonlinear, monotone operators
• A Proximal Point Method for the Variational Inequality Problem in Banach Spaces
• INEXACT VERSIONS OF PROXIMAL POINT AND AUGMENTED LAGRANGIAN ALGORITHMS IN BANACH SPACES
• Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
• Entropy in linear programs
• 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
• ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
• Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming

This page was built for publication: Proximal Methods with Penalization Effects in Banach Spaces