Strong Convergence Theorem of Implicit Iteration Process for Generalized Asymptotically Nonexpansive Mappings in Hilbert Space
Lili He, Lei Deng, Jianjun Liu · International Journal of Mathematics and Mathematical Sciences · 2008
Let C be a nonempty closed and convex subset of a Hilbert space H, let T and S : C → C be two commutative generalized asymptotically nonexpansive mappings. We introduce an implicit iteration process of S and T defined by , and then prove that {xn} converges strongly to a common fixed point of S and T. The results generalize and unify the corresponding results.