Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

Table 1

Convergence behavior of the three iterative processes to the fixed point.

No. of iterations	Picard iteration	Mann iteration	Ishikawa iteration
0	0.5000000000	0.5000000000	0.5000000000
1	0.4285714285	0.4642857142	0.4489795918
2	0.3673469387	0.4200680272	0.3817853672
3	0.3148688046	0.3750607385	0.3145833510
4	0.2698875468	0.3321966541	0.2539779054
5	0.2313321830	0.2926494334	0.2021456798
6	0.1982847283	0.2568148089	0.1592076137
7	0.1699583385	0.2247129578	0.1243809482
8	0.1456785758	0.1961779790	0.0965527088
9	0.1248673507	0.1709550960	0.0745623368
45	0.0004856959	0.0008512181	0.0000002419
46	0.0004163108	0.0007322028	0.0000001797
47	0.0003568378	0.0006297815	0.0000001335
48	0.0003058609	0.0005416488	0.0000009914
49	0.0002621665	0.0004658180	0.0000007360
50	0.0002247142	0.0004005774	0.0000005463