Hybrid Iterative Algorithm of Asymptotically Nonexpansive Mappings for Equilibrium Problems
Shanshan Yang, Jingxin Zhang · International Journal of Hybrid Information Technology · 2014
Optimization problems, variational inequalities, minimax problems can be formulated as equilibrium problems. The iterative algorithms of fixed points are often applied to finding the solution of equilibrium problems. In this paper, we introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of asymptotically nonexpansive mappings and the set of solutions of an equilibrium problem in Hilbert spaces. Besides, an example of variational inequality problem is given to illustrate the efficiency and performance of the newly algorithm.