Iterative Construction of Fixed Points for Functional Equations and Fractional Differential Equations

Table 1

Some iterates of given in Example 2.

		Thakur	Abbas	Noor	Ishikawa
1	0.99000000	0.99000000	0.99000000	0.99000000	0.99000000
2	0.07208437	0.07858125	0.13037100	0.13631062	0.28833800
3	0.00524864	0.00623738	0.01716820	0.01876826	0.08397830
4	0.00038216	0.00049509	0.00226083	0.002584156	0.02445800
5	0.00002782	0.00003929	0.00029772	0.00035580	0.00712359
6	0.00000202	0.00000311	0.00003920	0.00004899	0.00207475
7	0.00000014	0.00000024	0.00000516	0.00000674	0.00060427
8	0	0.00000001	0.00000067	0.00000092	0.00017599
9	0	0	0.00000008	0.00000012	0.00005125
10	0	0	0.00000001	0.00000001	0.00001492
11	0	0	0	0	0.00000434
12	0	0	0	0	0.00000126
13	0	0	0	0	0.00000036
14	0	0	0	0	0.00000010
15	0	0	0	0	0.0000003
16	0	0	0	0	0

The bold values indicate the first value tends to zero for every iteration scheme.