Strong convergence theorems for generalized equilibrium, variational inequalities and nonlinear operators
Yaqin Wang, Hong‐Kun Xu, Ximing Yin · Arabian Journal of Mathematics · 2012
A new iterative scheme is introduced to approximate a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, the set of common fixed points of two countable families of weak relatively nonexpansive mappings and the set of zeros of a maximal monotone operator in Banach spaces. The results obtained in this paper generalize and improve upon some existing results in recent literature.