New approach to the \(\eta \)-proximal point algorithm and nonlinear variational inclusion problems
type: Item
instance of: scholarly article
title: New approach to the \(\eta \)-proximal point algorithm and nonlinear variational inclusion problems
zbMATH Open document ID: 1211.65085
author: Ram U. Verma
published in: Applied Mathematics and Computation
publication date: 2010-12-20T00:00:00Z
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 5828093
zbMATH Keywords: general firm nonexpansiveness
zbMATH Keywords: variational inclusions
zbMATH Keywords: maximal monotone mapping
zbMATH Keywords: maximal \(\eta \)-monotone mapping
zbMATH Keywords: over-relaxed \((\eta )\)-proximal point algorithm
zbMATH Keywords: generalized resolvent operator
zbMATH Keywords: Yosida approximation
zbMATH Keywords: evolution equations
zbMATH Keywords: convergence analysis
MaRDI profile type: Publication
full work available at URL: j.amc.2010.08.048
OpenAlex ID: W2036877880
cites work: Necessary and sufficient conditions for a penalty method to be exact
cites work: Enlarging the region of convergence of Newton's method for constrained optimization
cites work: On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
cites work: Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
cites work: Approximate iterations in Bregman-function-based proximal algorithms
cites work: On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
cites work: Smooth methods of multipliers for complementarity problems
cites work: Finite termination of the proximal point algorithm
cites work: ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES
cites work: Q5618030
cites work: Mixed equilibrium problems: sensitivity analysis and algorithmic aspect.
cites work: Finding a zero of the sum of two maximal monotone operators
cites work: Q4833807
cites work: Composition duality and maximal monotonicity
cites work: Linear convergence of epsilon-subgradient descent methods for a class of convex functions
cites work: On the maximal monotonicity of subdifferential mappings
cites work: Monotone Operators and the Proximal Point Algorithm
cites work: Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
cites work: An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions
cites work: The perturbed proximal point algorithm and some of its applications
cites work: Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
cites work: Alternating Projection-Proximal Methods for Convex Programming and Variational Inequalities
cites work: A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
cites work: On the generalized proximal point algorithm with applications to inclusion problems
cites work: Q4212581
cites work: Q5473259
cites work: Q5486117
cites work: \(A\)-monotonicity and its role in nonlinear variational inclusions
cites work: A-monotone nonlinear relaxed cocoercive variational inclusions
cites work: Approximation solvability of a class of nonlinear set-valued variational inclusions involving \((A,\eta )\)-monotone mappings
cites work: General projection systems and relaxed cocoercive nonlinear variational inequalities
cites work: Q5332803
cites work: On the differentiability and the representation of one-parameter semi-group of linear operators
cites work: The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
cites work: LJUSTERNIK-SCHNIRELMAN Theory on General Level Sets
cites work: Q3706043
cites work: Q3992492
DOI: 10.1016/J.AMC.2010.08.048
description: scientific article; zbMATH DE number 5828093