Parallel Extragradient-Proximal Methods for Split Equilibrium Problems
By Dang Van Hieu. 2015
74 citations recorded by the source corpus.
In this paper, we introduce two parallel extragradient-proximal methods for solving split equilibrium problems. The algorithms combine the extragradient method, the proximal method and the shrinking projection method. The weak and strong convergence theorems for iterative sequences generated by the algorithms are established under widely used assumptions for equilibrium bifunctions. We also present an application to split variational inequality problems and a numerical example to illustrate the convergence of the proposed algorithms.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/02ba8212d1853663cee6dcdb06432481c7ede97e
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In Computational Theory and Mathematics
In Geometry and Topology
In Numerical Analysis
Citations in the corpus
- New extragradient method for a class of equilibrium problems in Hilbert spaces (2018, background): “However, unlike in [23,26,34], we assume that Q − P is symmetric negative definite.”