A Relative Error Tolerance for a Family of Generalized Proximal Point Methods

Authors:
Regina Sandra Burachik;B. F. Svaiter
Affiliations:
-;-
Venue:
Mathematics of Operations Research
Year:
2001

Citing 0
Cited 5

A hybrid entropic proximal decomposition method with self-adaptive strategy for solving variational inequality problems

Computers & Mathematics with Applications
A new criterion for the inexact logarithmic-quadratic proximal method and its derived hybrid methods

Journal of Global Optimization
The interior proximal extragradient method for solving equilibrium problems

Journal of Global Optimization
Inexact Proximal Point Methods for Variational Inequality Problems

SIAM Journal on Optimization
An LQP-Based Decomposition Method for Solving a Class of Variational Inequalities

SIAM Journal on Optimization

Quantified Score

Hi-index	0.00

Visualization

Abstract

We propose a new kind of inexact scheme for a family of generalized proximal point methods for the monotone complementarity problem. These methods, studied by Auslender, Teboulle, and Ben-Tiba, converge under the sole assumption of existence of solutions. We prove convergence of our new scheme and discuss its implementability.