Tikhonov fixed-point regularization

Abstract : The main purpose of this note is to propose viscosity approximation methods which amount to selecting a particular fixed-point of a given nonexpansive self mapping in a general Hilbert space. The connection with the selection principles of Attouch, in the context of convex minimization and monotone inclusion problems, is made and an application to a semi-coercive elliptic problem is then stated. Key words: nonexpansive mappings, fixed-points, monotone operators, iterative methods, convex optimization, selection, penalty ...
Document type :
Journal articles
Complete list of metadatas

https://hal.univ-antilles.fr/hal-00776623
Contributor : Gerty Roux <>
Submitted on : Tuesday, January 15, 2013 - 6:25:55 PM
Last modification on : Tuesday, February 19, 2019 - 9:56:02 PM

Identifiers

  • HAL Id : hal-00776623, version 1

Collections

Citation

Abdellatif Moudafi. Tikhonov fixed-point regularization. Lecture notes in economics and mathematical systems, 2000, pp.320-328. ⟨hal-00776623⟩

Share

Metrics

Record views

115