Table 2 Convergence of the sequence in Algorithm 3.2
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 | (10,0,−10) | (−10,5,10) | (−10.003,5.001,10.003) | 28.7228 | 0.0039 |
1 | (−10,5,10) | (−2.985,1.319,4.384) | (−2.981,1.317,4.379) | 9.7107 | 0.0064 |
2 | (−2.985,1.319,4.384) | (−2.291,−0.037,1.814) | (−2.288,−0.043,1.802) | 2.9877 | 0.0134 |
3 | (−2.291,−0.037,1.814) | (−1.033,0.336,1.048) | (−1.018,0.341,1.039) | 1.5187 | 0.0183 |
4 | (−1.033,0.336,1.048) | (−0.313,0.343,0.568) | (−0.296,0.344,0.557) | 0.8660 | 0.0204 |
5 | (−0.313,0.343,0.568) | (−0.332,0.091,0.225) | (−0.332,0.082,0.212) | 0.4264 | 0.0156 |
… | |||||
10 | (−0.034,0.009,0.009) | (−0.012,0.011,0.006) | (−0.006,0.012,0.005) | 0.0223 | 0.0059 |
20 | (0.318,−0.203,0.045)e − 05 | (0.311,−0.452,−0.013)e − 06 | (0.321,−0.128,0.062)e − 05 | 2.5567e − 06 | 7.6702e − 07 |
21 | (0.311,−0.452,−0.013)e − 06 | (0.119,−0.167,−0.005)e − 06 | (0.059,−0.156,−0.020)e − 05 | 2.0896e − 06 | 6.2688e − 07 |
22 | (0.119,−0.167,−0.005)e − 06 | (0.879,−0.575,0.075)e − 06 | (0.787,−0.246,0.113)e − 06 | 8.665e − 07 | 3.432e − 07 |