Table 2 Comparison of fastness for different control conditions
From: Modified Picard-Mann hybrid iteration process for total asymptotically nonexpansive mappings
\(\boldsymbol {\alpha_{n}}\) | Least number of iterate to reach the fixed point 1 | |||||
|---|---|---|---|---|---|---|
\(\boldsymbol {x_{1}=1.1}\) | \(\boldsymbol {x_{1}=1.5}\) | \(\boldsymbol {x_{1}=1.9}\) | ||||
Iteration ( 1.1 ) | Iteration ( 1.3 ) | Iteration ( 1.1 ) | Iteration ( 1.3 ) | Iteration ( 1.1 ) | Iteration ( 1.3 ) | |
0.3 | \(x_{87}\) | \(x_{3}\) | \(x_{91}\) | \(x_{3}\) | \(x_{92}\) | \(x_{3}\) |
0.5 | \(x_{45}\) | \(x_{3}\) | \(x_{47}\) | \(x_{3}\) | \(x_{47}\) | \(x_{3}\) |
0.84 | \(x_{19}\) | \(x_{2}\) | \(x_{21}\) | \(x_{2}\) | \(x_{21}\) | \(x_{2}\) |
0.95 | \(x_{13}\) | \(x_{2}\) | \(x_{14}\) | \(x_{2}\) | \(x_{14}\) | \(x_{2}\) |
\(\frac{n}{n+1}\) | \(x_{16}\) | \(x_{3}\) | \(x_{17}\) | \(x_{3}\) | \(x_{17}\) | \(x_{3}\) |
\(1-\frac{1}{\sqrt{n+1}}\) | \(x_{26}\) | \(x_{3}\) | \(x_{27}\) | \(x_{3}\) | \(x_{28}\) | \(x_{3}\) |
\(\frac{1}{\sqrt{n+1}}-\frac{1}{(n+1)^{2}}\) | \(x_{235}\) | \(x_{3}\) | \(x_{258}\) | \(x_{3}\) | \(x_{261}\) | \(x_{3}\) |
\(\frac{1}{\sqrt{n+5}}\) | \(x_{265}\) | \(x_{3}\) | \(x_{288}\) | \(x_{3}\) | \(x_{295}\) | \(x_{3}\) |
\(\frac{1}{\sqrt{2n+5}}\) | \(x_{492}\) | \(x_{3}\) | \(x_{537}\) | \(x_{3}\) | \(x_{555}\) | \(x_{3}\) |