Weak and Strong convergence Theorems for Approximating common fixed Points of Three Nonexpansive Mappings (Nonlinear Analysis and Convex Analysis)
P. Glubudom, Suthep Suantai · Kyoto University Research Information Repository (Kyoto University) · 2008
In this paper, a new three-step iterative scheme for three nonexpan- sives mappings is introduced and studied.Weak and strong convergence theorems of such iterations to a common fixed point of the nonexpansive mappings are established.The results obtained in this paper extend and improve the results due to [W.Thkahashi, T. Tamura, Convergence theorems for a pair of nonexpan- sive mappings, J. Convex anal.5(1995) $45-58|$ , [K.K.Tan, H.K.Xu, Approximat- ing fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math.Anal.Appl.178(1993) $301-308|$ , [H.F.Senter W.G.Dotson, Approximating fixed points of nonexpansive mappings, Proc.Amer.Math.Soc.44(1974)$375-380|$ and [G.