On the generalized proximal point algorithmwith applications to inclusion problems

Ram U. Verma

doi:10.3934/jimo.2009.5.381

Article Contents

2009, Volume 5, Issue 2: 381-390. Doi: 10.3934/jimo.2009.5.381

This issue Previous Article Mixed behavior network equilibria and quasi-variational inequalities Next Article Censored newsvendor model revisited with unnormalized probabilities

On the generalized proximal point algorithm with applications to inclusion problems

Ram U. Verma^1,

1.
International Publications (USA), 12085 Lake Cypress Circle, Suite I109, Orlando, Florida 32828

Received: August 2008

Revised: October 2008

Published: April 2009

Abstract Related Papers Cited by

Abstract

A class of generalized proximal point algorithms based on the $A-$ maximal monotonicity is introduced, and then it is applied to the approximation solvability of a general class of nonlinear inclusion problems using the generalized resolvent operator technique. This seems to be of interest in the sense that it is application-oriented.

Keywords:

Variationalinclusions; Maximal monotone mapping; $A-$ maximal monotone mapping;Generalized resolvent operator; General proximal point algorithm.

Mathematics Subject Classification: Primary: 49J40; Secondary: 65B05.

Citation:

Article Metrics

HTML views() PDF downloads(74) Cited by(0)

On the generalized proximal point algorithm with applications to inclusion problems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On the generalized proximal point algorithm with applications to inclusion problems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content