Modified inertial subgradient extragradient algorithms for generalized equilibria systems with constraints of variational inequalities and fixed points
Lu-Chuan Ceng, Shih-Hsin Chen, Yeong‐Cheng Liou, Tzu-Chien Yin · AIMS Mathematics · 2024
In this research, we studied modified inertial composite subgradient extragradient implicit rules for finding solutions of a system of generalized equilibrium problems with a common fixed-point problem and pseudomonotone variational inequality constraints. The suggested methods consisted of an inertial iterative algorithm, a hybrid deepest-descent technique, and a subgradient extragradient method. We proved that the constructed algorithms converge to a solution of the considered problem, which also solved some hierarchical variational inequality.