From: New strong convergence theorems for split variational inclusion problems in Hilbert spaces
\(\boldsymbol{x_{1}=(1,1)^{\top}}\) | \(\boldsymbol{\varepsilon=10^{-3}}\) | \(\boldsymbol{\varepsilon=10^{-4}}\) | ||||
---|---|---|---|---|---|---|
Time | Iteration | Approximate solution | Time | Iteration | Approximate solution | |
Algorithm 1.2 | 0.02 | 19 | (0.9853714,−0.01460836) | 0.02 | 60 | (0.9932032,−0.006789955) |
Theorem 1.1 | 0.01 | 218 | (1.087499,0.08749895) | 0.05 | 505 | (1.008727,0.008726755) |
Theorem 1.2 | 0.04 | 213 | (1.237467,0.2433358) | 0.08 | 939 | (1.065859,0.06719048) |
Theorem 1.3 | 0.01 | 137 | (1.376151,0.3943719) | 0.14 | 1,308 | (1.094086,0.09599743) |
Theorem 1.4 | 0.02 | 206 | (1.083916,0.08392859) | 0.06 | 484 | (1.007433,0.007437749) |
\(\boldsymbol{x_{1}=(1,1)^{\top}}\) | \(\boldsymbol{\varepsilon=10^{-5}}\) | \(\boldsymbol{\varepsilon=10^{-6}}\) | ||||
---|---|---|---|---|---|---|
Time | Iteration | Approximate solution | Time | Iteration | Approximate solution | |
Algorithm 1.2 | 0.06 | 287 | (0.9977524,−0.002246182) | 0.25 | 970 | (0.9993371,−0.0006624296) |
Theorem 1.1 | 0.06 | 792 | (1.000870,0.0008703675) | 0.08 | 1,078 | (1.000088,8.750662e − 05) |
Theorem 1.2 | 0.25 | 2,974 | (1.020805,0.02122562) | 0.99 | 9,403 | (1.006580,0.006713283) |
Theorem 1.3 | 0.34 | 4,205 | (1.029428,0.03002226) | 1.59 | 13,297 | (1.009306,0.009494477) |
Theorem 1.4 | 0.07 | 749 | (1.000037,4.018706e − 05) | 0.07 | 953 | (0.9994309,−5.664470e − 04) |
\(\boldsymbol{x_{1}=(1,1)^{\top}}\) | \(\boldsymbol{\varepsilon=10^{-7}}\) | \(\boldsymbol{\varepsilon=10^{-8}}\) | ||||
---|---|---|---|---|---|---|
Time | Iteration | Approximate solution | Time | Iteration | Approximate solution | |
Algorithm 1.2 | 0.75 | 2,999 | (0.9997898,−0.0002100474) | 2.62 | 9,426 | (0.9999335,−6.645199e − 05) |
Theorem 1.1 | 0.11 | 1,365 | (1.000009,8.727519e − 06) | 0.14 | 1,562 | (1.000001,8.704438e − 07) |
Theorem 1.2 | 5.03 | 29,732 | (1.002081,0.002123133) | 19.63 | 94,018 | (1.000658,0.000671414) |
Theorem 1.3 | 8.73 | 42,047 | (1.002943,0.003002578) | 21.03 | 132,961 | (1.000931,0.0009495180) |
Theorem 1.4 | 0.09 | 1,034 | (0.9994033,−5.942738e − 04) | 0.09 | 1,047 | (0.9994030,−5.945951e − 04) |