Research Article

Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm

Table 2

The convergence of Abbas, Thakur, and accelerated iteration with new iteration for the same initial values, parameters, and tolerance 10-6.

StepsAbbasAn acceleratedThakurNew

0(0, 3)(0, 3)(0, 3)(0, 3)
1(0, 0.917554)(0, 0.890744)(0, 0.969760)(0, 0.311990)
2(0, 0.133217)(0, 0.126269)(0, 0.161770)(0, 0.011353)
3(0, 0.015917)(0, 0.015024)(0, 0.022578)(0, 0.000384)
4(0, 0.001852)(0, 0.001747)(0, 0.003065)(0, 0.000012)
5(0, 0.000214)(0, 0.000202)(0, 0.000414)(0, 0.000000)
6(0, 0.000024)(0, 0.000023)(0, 0.000056)(0, 0.000000)
7(0, 0.000002)(0, 0.000002)(0, 0.000007)(0, 0.000000)
8(0, 0.000000)(0, 0.000000)(0, 0.000001)(0, 0.000000)
9(0, 0.000000)(0, 0.000000)(0, 0.000000)(0, 0.000000)