Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces
Yasir Arfat, Poom Kumam, Parinya Sa Ngiamsunthorn, Muhammad Aqeel Ahmad Khan, Hammad Sarwar, Hafiz Fukhar-ud-din · Advances in Difference Equations · 2020
Abstract In this paper, we study a modified extragradient method for computing a common solution to the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real Hilbert spaces. The weak and strong convergence characteristics of the proposed algorithm are investigated by employing suitable control conditions in such a setting of spaces. As a consequence, we provide a simplified analysis of various existing results concerning the extragradient method in the current literature. We also provide a numerical example to strengthen the theoretical results and the applicability of the proposed algorithm.