An extragradient algorithm for the split equilibrium problems without prior knowledge of operator norm



	An extragradient algorithm for the split equilibrium problems without prior knowledge of operator norm


	Fixed Point Theory, Volume 22, No. 2, 2021, 587-602, July 1st, 2021 DOI: 10.24193/fpt-ro.2021.2.39 Authors: Vahid Dadashi and Truong Minh Tuyen Abstract: In this paper, using the hybrid projection method and an extragradient method of Hieu in [9], we present an extragradient algorithm for approximating a solution of the split equilibrium problem. The strong convergence theorem is proved in the framework of Hilbert spaces under some mild conditions. In particular, our algorithm does not depend on the norm of the transfer operator. Key Words and Phrases: Hilbert space, split equilibrium problem, pseudomonotonicity, extragradient method. 2010 Mathematics Subject Classification: 68W10, 65K10, 65K15, 47H09, 47H10. Published on-line: July 1st, 2021. Abstract pdf Fulltext pdf Back to volume's table of contents