Fixed-point Iteration Processes for Non-lipschitzian Mappings of Asymptotically Quasi-nonexpansive Type
نویسندگان
چکیده
We study convergences of Mann and Ishikawa iteration processes for mappings of asymptotically quasi-nonexpansive type in Banach spaces. 1. Introduction and preliminaries. Let D be a nonempty subset of a real Banach space X and T : D → D a nonlinear mapping. The mapping T is said to be asymptotically quasi-nonexpansive (see [5]) if F(T) = ∅ and there exists a sequence {k n } in [0, ∞) with lim n→∞ k n = 0 such that
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