Table 1 Convergence of the sequence in Algorithm 3.1
From: New inertial algorithm for solving split common null point problem in Banach spaces
n | \(x_{n}\) | \(x_{n+1}\) | \(w_{n}\) | \(\|x_{n+1}-x_{n}\|\) | \(\|x_{n+1}-w_{n}\|\) |
|---|---|---|---|---|---|
0 | (13,−12,25) | (10,−5,15) | (9.998,−4.995,14.993) | 12.5750 | 0.0088 |
1 | (10,−5,15) | (2.280,−7.305,5.707) | (2.277,−7.305,5.703) | 4.8141 | 0.0051 |
2 | (2.280,−7.305,5.707) | (2.972,−3.161,3.356) | (2.973,−3.154,3.352) | 2.8272 | 0.0083 |
3 | (2.972,−3.161,3.356) | (1.053,−2.830,1.306) | (1.047,−2.829,1.299) | 1.6818 | 0.0098 |
4 | (1.053,−2.830,1.306) | (1.336,−1.229,0.874) | (1.338,−1.218,0.871) | 1.0192 | 0.0121 |
5 | (1.336,−1.229,0.874) | (0.511,−1.101,0.289) | (0.498,−1.099,0.281) | 0.6520 | 0.0153 |
… | |||||
10 | (0.106,−0.166,0.006) | (0.111,−0.063,0.019) | (0.111,−0.057,0.020) | 0.0700 | 0.0059 |
20 | (0.334,−0.989,−0.329)e − 04 | (0.007,0.269,0.041)e − 04 | (−0.091,0.647,0.152)e − 04 | 3.5041e − 05 | 4.0568e − 05 |
26 | (−0.378,0.219,−0.010)e − 05 | (−0.111,0.156,0.023)e − 05 | (−0.031,0.136,0.033)e − 05 | 1.2179e − 06 | 8.2810e − 07 |
27 | (−0.111,0.156,0.023)e − 06 | (−0.741,0.424,−0.028)e − 06 | (−0.629,0.085,−0.106)e − 06 | 4.864e − 07 | 1.44e − 07 |