An accelerated extragradient algorithm for fixed point, pseudomonotone equilibrium and split null point problems
Yasir Arfat, Poom Kumam, Khan M.A.A., Ngiamsunthorn P.S. · Fixed Point Theory · 2023
This paper provides iterative construction of a common solution associated with the fixed point problem of an infinite family of k-demicontractive mappings, pseudomonotone equilibrium problem satisfying Lipschitz-type continuity and the split common null point problem.We propose an iterative algorithm that combines the classical extragradient method with the inertial extrapolation technique.The analysis of the proposed algorithm is two-fold: firstly, we establish strong convergence results under suitable set of constraints and secondly we verify the viability of the proposed algorithm via numerical experiment with applications.