On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces
作者： W. M. Kozlowski , Brailey Sims
DOI: 10.1007/978-1-4614-7621-4_22
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摘要: Let C be a bounded, closed, convex subset of uniformly Banach space X. We investigate the convergence generalized Krasnosel’skii-Mann and Ishikawa iteration processes to common fixed points pointwise Lipschitzian semigroups nonlinear mappings T t : → C. Each is assumed Lipschitzian, that is, there exists family functions α [0,∞) such \(\|T_{t}(x) - T_{t}(y)\| \leq \alpha _{t}(x)\|x y\|\) for x,y ∈
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