Skip to Main content Skip to Navigation
Journal articles

Iterative selection methods for common fixed point problems

Sever Adrian Hirstoaga 1
1 TONUS - TOkamaks and NUmerical Simulations
IRMA - Institut de Recherche Mathématique Avancée, Inria Nancy - Grand Est
Abstract : Many problems encountered in applied mathematics can be recast as the problem of selecting a particular common fixed point of a countable family of quasi-nonexpansive operators in a Hilbert space. We propose two iterative methods to solve such problems. Our convergence analysis is shown to cover a variety of existing results in this area. Applications to solving monotone inclusion and equilibrium problems are considered.
Document type :
Journal articles
Complete list of metadatas

https://hal.inria.fr/hal-01811186
Contributor : Sever Hirstoaga <>
Submitted on : Friday, June 8, 2018 - 4:10:08 PM
Last modification on : Friday, June 19, 2020 - 9:22:05 AM

Identifiers

Collections

Citation

Sever Adrian Hirstoaga. Iterative selection methods for common fixed point problems. Journal of Mathematical Analysis and Applications, Elsevier, 2006, 324 (2), pp.1020-1035. ⟨10.1016/j.jmaa.2005.12.064⟩. ⟨hal-01811186⟩

Share

Metrics

Record views

207