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/lp/de-gruyter/an-inertial-extragradient-algorithm-for-split-problems-in-hilbert-rRRb9fFsfF
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- Publisher
- de Gruyter
- Copyright
- © 2023 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 0174-4747
- eISSN
- 2196-6753
- DOI
- 10.1515/anly-2022-1054
- Publisher site
- See Article on Publisher Site
Abstract
AbstractIn this study, we propose an inertial extragradient algorithm for solving a split generalized equilibrium problem as well as a split feasibility and common fixed point problem. We demonstrate that, under certain reasonable assumptions, the sequences induced by the proposed algorithm converge strongly to a solution of the corresponding problem. In addition, with the help of a numerical example, we demonstrate the efficiency of proposed algorithm. As a result of this paper, some recent well-known results in this area have been improved, generalized, and extended.
Journal
Analysis – de Gruyter
Published: May 1, 2023
Keywords: Generalized equilibrium problem; nonexpansive mapping; split common fixed point problem; strong convergence; split feasibility problem; extragradient method; 46N10; 47H10; 47J25; 47H09; 65J15