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
Jing Zhao · Journal of Applied Mathematics · 2012
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.