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• W2092957091 abstract "Let K be a nonempty closed convex subset of a uniformly convex Banach space E with a uniformly Gâteaux differentiable norm. Suppose that T:K→K is an asymptotically non-expansive mapping and for arbitrary initial value x0∈K, we will introduce the Mann iteration of its Cesàro means: xn+1=αnxn+(1−αn)1n+1∑j=0nTjxn,n≥0, and prove its strong and weak convergence whenever ∑n=0∞bn<+∞ and {αn} is a real sequence in (0,1) satisfying one of the conditions: either (i) limn→∞αn=0 or (ii) ∑n=0∞αn(1−αn)=+∞ or (iii) 0<lim infn→∞αn≤lim supn→∞αn<1." @default.
• W2092957091 created "2016-06-24" @default.
• W2092957091 creator A5068270462 @default.
• W2092957091 date "2010-01-01" @default.
• W2092957091 modified "2023-10-11" @default.
• W2092957091 title "Mann iteration of Cesàro means for asymptotically non-expansive mappings" @default.
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• W2092957091 doi "https://doi.org/10.1016/j.na.2009.06.045" @default.
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