An Iterative Method for Generalized Equilibrium Problems, Fixed Point Problems and Variational Inequality Problems
Qingyou Liu, Wei-you Zeng, Nan‐jing Huang · Fixed Point Theory and Applications · 2009
Abstract We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points of infinitely many nonexpansive mappings, and the set of solutions of the variational inequality for "Equation missing"-inverse-strongly monotone mappings in Hilbert spaces. We give some strong-convergence theorems under mild assumptions on parameters. The results presented in this paper improve and generalize the main result of Yao et al. (2007).