A hybrid inertial projection-proximal method for variational inequalities

Abstract : The hybrid proximal point algorithm introduced by Solodov and Svaiter allowing significant relaxation of the tolerance requirements imposed on the solution of proximal subproblems will be combined with the inertial method introduced by Alvarez and Attouch which incorporates second order information to achieve faster convergence. The weak convergence of the resulting method will be investigated for finding zeroes of a maximal monotone operator in a Hilbert space.
Document type :
Journal articles
Complete list of metadatas

Cited literature [10 references]  Display  Hide  Download

https://hal.univ-antilles.fr/hal-00780745
Contributor : Pamphile Isch <>
Submitted on : Tuesday, January 29, 2013 - 7:30:33 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:26 PM
Long-term archiving on: Saturday, April 1, 2017 - 10:11:21 AM

File

170_03_www.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-00780745, version 1

Collections

Citation

Abdellatif Moudafi. A hybrid inertial projection-proximal method for variational inequalities. Journal of Inequalities in Pure and Applied Mathematics, School of Communications and Informatics, 2004, 5 (3), pp.1-5. ⟨hal-00780745⟩

Share

Metrics

Record views

207

Files downloads

194