Parallel Extragradient-Proximal Methods for Split Equilibrium Problems

• Published in: Mathematical modelling and analysis Vol. 21; no. 4; pp. 478 - 501
• Main Author: Hieua, Dang Van
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 03.07.2016; Vilnius Gediminas Technical University
• Subjects: Algorithms; Convergence; Convergence (Mathematics); equilibrium problem; extragradient method; Functions (Mathematics); Inequalities; Iterative methods; Mathematical models; Mathematical research; parallel algorithm; Projection; proximal method; Sequences; Sequences (Mathematics); split equilibrium problem; Theorems; split equilibrium problem; proximal method; extragradient method; parallel algorithm; equilibrium problem

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...