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• W2031820100 abstract "In this paper, we prove Krasnoselskii and Mann's type convergence theorems for nonexpansive semigroups without using Bochner integral and without assuming the strict convexity of Banach spaces. One of our main results is the following: let C be a compact convex subset of a Banach space E and let {T(t):t⩾0} be a one-parameter strongly continuous semigroup of nonexpansive mappings on C. Let {tn} be a sequence in [0,∞) satisfying lim infn→∞tn<lim supn→∞tnandlimn→∞(tn+1−tn)=0. Let λ∈(0,1). Define a sequence {xn} in C by x1∈C and xn+1=λT(tn)xn+(1−λ)xn for n∈N. Then {xn} converges strongly to a common fixed point of {T(t):t⩾0}." @default.
• W2031820100 created "2016-06-24" @default.
• W2031820100 creator A5055028868 @default.
• W2031820100 date "2005-05-01" @default.
• W2031820100 modified "2023-09-27" @default.
• W2031820100 title "Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals" @default.
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• W2031820100 doi "https://doi.org/10.1016/j.jmaa.2004.11.017" @default.
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