Simple form of a projection set in hybrid iterative schemes for non-linear mappings, application of inequalities and computational experiments

Journal of Inequalities and Applications

Table 1 Numerical results of \(\{x_{n}\}\), \(\{y_{n}\}\), and \(\{w_{n}\}\) with initial \(x_{1} = 1.0\) based on (3.10)

n	\(x_{n}\)	\(y_{n}\)	\(w_{n}\)
1	1.000000000000000	0.666666666666667	1.33333333333333
2	0.292893218813452	0.15857864376269	0.475735931288071
3	0.220137097256371	0.061496714509967	0.307483572549836
4	0.145846031275193	0.023285060663247	0.20956554596922
5	0.091822359822189	0.008843101812794	0.150332730817491
6	0.057343575321990	0.003446311415210	0.113728276701933
7	0.036498723210567	0.001390355550912	0.090373110809311
8	0.024079369242186	0.000580075366701	0.074829722304444
9	0.016612409147652	0.000248973723701	0.063986246991232
10	0.012011262300244	0.000109279280293	0.056060270790268
11	0.009075530986527	0.000048796789603	0.050016709342611
12	0.007124586938736	0.000022079062795	0.045239999667432
13	0.005771789196202	0.000010093356050	0.041352479737665
14	0.004794674685823	0.000004652013800	0.038113949064097
15	0.004062531254230	0.000002158417954	0.035365678169425
16	0.003496425067359	0.000001007010163	0.032998716038761
17	0.003047136222354	0.000000472032117	0.030935568833118
18	0.002682885282545	0.000000222161174	0.029119331499637
19	0.002382412236492	0.000000104930661	0.027507048057261
20	0.002130999790903	0.000000049715948	0.026065524753426