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...
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| Published in | Optimization letters Vol. 14; no. 7; pp. 1817 - 1843 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.10.2020
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1862-4472 1862-4480 |
| DOI | 10.1007/s11590-019-01479-w |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Van Hieu, Dang Gibali, Aviv |
| Author_xml | – sequence: 1 givenname: Dang surname: Van Hieu fullname: Van Hieu, Dang organization: Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University – sequence: 2 givenname: Aviv orcidid: 0000-0002-2150-553X surname: Gibali fullname: Gibali, Aviv email: avivg@braude.ac.il organization: Department of Mathematics, ORT Braude College, The Center for Mathematics and Scientific Computation, University of Haifa |
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| Keywords | Proximal point algorithm Monotone bifunction Inertial-like algorithm |
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| Title | Strong convergence of inertial algorithms for solving equilibrium problems |
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