Strong convergence of inertial algorithms for solving equilibrium problems

In this paper, we introduce several inertial-like algorithms for solving equilibrium problems (EP) in real Hilbert spaces. The algorithms are constructed using the resolvent of the EP associated bifunction and combines the inertial and the Mann-type technique. Under mild and standard conditions impo...

Full description

Saved in:
Bibliographic Details
Published inOptimization letters Vol. 14; no. 7; pp. 1817 - 1843
Main Authors Van Hieu, Dang, Gibali, Aviv
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020
Subjects
Computational Intelligence
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Operations Research/Decision Theory
Optimization
Original Paper
Simulation
Proximal point algorithm
Monotone bifunction
Inertial-like algorithm
Online AccessGet full text
ISSN1862-4472
1862-4480
DOI10.1007/s11590-019-01479-w

Cover

More Information
Summary:In this paper, we introduce several inertial-like algorithms for solving equilibrium problems (EP) in real Hilbert spaces. The algorithms are constructed using the resolvent of the EP associated bifunction and combines the inertial and the Mann-type technique. Under mild and standard conditions imposed on the cost bifunction and control parameters strong convergence of the algorithms is established. We present several numerical examples to illustrate the behavior of our schemes and emphasize their convergence advantages compared with some related methods.
ISSN:1862-4472
1862-4480
DOI:10.1007/s11590-019-01479-w