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Strong convergence theorems for fixed points of pseudo-contractive semigroup
Bulletin of the Australian Mathematical Society
We study some convergence of two kinds of implicit iteration processes for approximating common fixed points of a pseudo-contractive semigroup in uniformly convex Banach spaces with uniformly Gateaux differential norms. As special cases, we get some convergence of the implicit iteration processes for approximating common fixed points of a nonexpansive semigroup in uniformly smooth Banach spaces and give a positive answer to an open problem proposed by Xu in Bull. Austral. Math. Soc. (2005). Thedoi:10.1017/s0004972700039794 fatcat:mjfe2nfrc5gdhk2e3x5ts725ym