Strong convergence of a hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems, of quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces
Summary: We introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed quasi-\(\phi\)-asymptotically nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the variational inequality problem for a \(\gamma\)-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.
scientific article; zbMATH DE number 6106234
scientific article