COMMON FIXED POINT THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS(Banach spaces, function spaces, inequalities and their applications)
Hafiz Fukhar-ud-din · Institutional Repositories DataBase (IRDB) · 2007
In this paper, we assume that set of common fixed points of two asymptoticaJly nonexpansive mappings is nonempty and one of these mappings is completely continuous.Then $an$ iterative sequence $\{x_{n}\}$ converges strongly to some common fixed point of these mappings.If the mappings are not completely continuous but either the nom of the space is HY\'echet differentiable or the dual of the space has Kadec- Klee property, then the iterative sequence $\{x_{n}\}$ converges weakly to some common fixed point of these mappings.