Table 1 Sequences generated by K, Picard-S- and S-iteration processes
From: Some convergence results using K iteration process in \(\mathit{CAT}(0)\) spaces
K | Picard-S | S | |
|---|---|---|---|
\(x_{0}\) | 0.9 | 0.9 | 0.9 |
\(x_{1}\) | 0.9875 | 0.975 | 0.95 |
\(x_{2}\) | 0.998561026471100 | 0.994244105884402 | 0.976976423537605 |
\(x_{3}\) | 0.999840932805849 | 0.998727462446794 | 0.989819699574350 |
\(x_{4}\) | 0.999982839247306 | 0.999725427956896 | 0.995606847310338 |
\(x_{5}\) | 0.999998178520930 | 0.999941712669962 | 0.998134805438786 |
\(x_{6}\) | 0.999999808905464 | 0.999987769949668 | 0.999217276778764 |
\(x_{7}\) | 0.999999980126971 | 0.999997456252294 | 0.999674400293643 |
\(x_{8}\) | 0.999999997947369 | 0.999999474526643 | 0.999865478820511 |
\(x_{9}\) | 0.999999999789148 | 0.999999892043912 | 0.999944726482773 |
\(x_{10}\) | 0.999999999978438 | 0.999999977920327 | 0.999977390415280 |
\(x_{11}\) | 0.999999999997803 | 0.999999995501064 | 0.999990786179471 |
\(x_{12}\) | 0.999999999999777 | 0.999999999086208 | 0.999996257108584 |
\(x_{13}\) | 0.999999999999977 | 0.999999999814902 | 0.999998483680543 |
\(x_{14}\) | 0.999999999999998 | 0.999999999962595 | 0.999999387160191 |
\(x_{15}\) | 1 | 0.999999999992457 | 0.999999752825556 |
\(x_{16}\) | 1 | 0.999999999998482 | 0.999999900490241 |
\(x_{17}\) | 1 | 0.999999999999695 | 0.999999960003588 |
\(x_{18}\) | 1 | 0.999999999999939 | 0.999999983947466 |
\(x_{19}\) | 1 | 0.999999999999988 | 0.999999993565774 |
\(x_{20}\) | 1 | 0.999999999999997 | 0.999999997424076 |