Parallel Hybrid Extragradient-Proximal Methods for Split Equilibrium Problems in Hilbert Spaces

Ponkamon Kitisak, Pronpat Peeyada, Natthakan Tewalok, Yollada Choiban, Siriluck Chaiwong, Watcharaporn Cholamjiak

Abstract

In this paper, we introduce two dierent parallel hybrid extragradient-proximal methods forsolving split equilibrium problems in Hilbert spaces. The algorithms combine the extragradient method,the proximal method and the shrinking projection method. The strong convergence theorems for iterativesequences generated by the algorithms are established under widely used assumptions for equilibriumbifunctions in Hilbert spaces.