New extragradient methods with non-convex combination for pseudomonotone equilibrium problems with applications in Hilbert spaces

Shenghua Wang, Yifan Zhang, Ping Ping, Yeol Cho, Haichao Guo
2019 Filomat  
In the literature, the most authors modify the viscosity methods or hybrid projection methods to construct the strong convergence algorithms for solving the pseudomonotone equilibrium problems. In this paper, we introduce some new extragradient methods with non-convex combination to solve the pseudomonotone equilibrium problems in Hilbert space and prove the strong convergence for the constructed algorithms. Our algorithms are very different with the existing ones in the literatures. As the
more » ... ication, the fixed point theorems for strict pseudo-contraction are considered. Finally, some numerical examples are given to show the effectiveness of the algorithms.
doi:10.2298/fil1906677w fatcat:pendyvntyfd6hhdxs5fu7ydo2q