Table 1 Numerical values of \(s_{m}\) and \(\|s_{m}-s_{m-1}\|_{2}\)
From: Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
No. of iterations | \(s_{m}\) | \(h(s_{m})\) | \(\|s_{m}-s_{m-1}\|_{2}\) |
|---|---|---|---|
m = 1 | 10 | 51 | – |
m = 2 | 2.887912 | 2.267415 | 5.143740 |
m = 3 | 1.513123 | 0.6300537 | 4.117401 |
m = 4 | 1.230808 | 0.528876 | 1.801738 |
m = 5 | 1.153017 | 0.511232 | 0.583212 |
m = 6 | 1.119232 | 0.507252 | 0.120032 |
m = 7 | 1.098545 | 0.504013 | 0.000651 |
m = 8 | 1.083867 | 0.503242 | 2.680507\(\times \mathrm{e}^{-2}\) |
m = 9 | 1.063823 | 0.502737 | 3.324120\(\times \mathrm{e}^{-4}\) |
m = 10 | 1.056611 | 0.502344 | 9.929354\(\times \mathrm{e}^{-7}\) |
m = 11 | 1.041421 | 0.500856 | 2.906031\(\times \mathrm{e}^{-9}\) |
m = 12 | 1.028531 | 0.500547 | 1.170353\(\times \mathrm{e}^{-11}\) |
m = 13 | 1.017221 | 0.500236 | 2.224861\(\times \mathrm{e}^{-14}\) |
m = 14 | 1.016117 | 0.500228 | 5.773151\(\times \mathrm{e}^{-19}\) |
m = 15 | 1.009912 | 0.500179 | 0.00000 |
m = 16 | 1.009234 | 0.500132 | 0.00000 |
m = 17 | 1.008221 | 0.500101 | 0.00000 |
m = 18 | 1.007608 | 0.500097 | 0.00000 |
m = 19 | 1.006803 | 0.500082 | 0.00000 |
m = 20 | 1.004818 | 0.500060 | 0.00000 |
m = 21 | 1.003001 | 0.500012 | 0.00000 |
m = 22 | 1.000387 | 0.500001 | 0.00000 |
m = 23 | 1.000201 | 0.500000 | 0.00000 |
m = 24 | 1.000000 | 0.500000 | 0.00000 |
m = 25 | 1.000000 | 0.500000 | 0.00000 |