Strong convergence of a hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems, of quasi-φ-asymptotically nonexpansive mappings in banach spaces

摘要

We introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed quasi-φ-asymptotically nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the variational inequality problem for a γ-inverse strongly monotone mapping in Banach spaces. Then we study the strong convergence of the algorithm. Our results improve and extend the corresponding results announced by many others.