A strong convergence theorem for solutions of equilibrium problems and asymptotically quasi- ? -nonexpansive mappings in the intermediate sense

摘要

In this paper, common solutions to an equilibrium problem and a nonlinear operator equation involving a finite family of asymptotically quasi-?-nonexpansive mappings in the intermediate sense are discussed. Strong convergence theorems of common solutions are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. MSC:47H09, 47J25.