Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations

Uddin, Izhar; Garodia, Chanchal; Nieto, Juan Jose

doi:10.1186/s13660-018-1925-2

Journal of Inequalities and Applications

Table 1 (\(\kappa_{n} = \frac{2n}{5n+2}\) for all \(n \in \mathbb{N}\))

From: Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations

Step	When \(u_{1} = 0.25\)	\(u_{1} = 0.45\)	\(u_{1} = 0.65\)
1	0.25	0.45	0.65
2	0.1607142857142857	0.2892857142857142	0.4178571428571429
3	0.1071428571428571	0.1928571428571428	0.2785714285714286
4	0.07247899159663865	0.1304621848739496	0.1884453781512605
5	0.04941749427043545	0.0889514896867838	0.1284854851031322
6	0.03386013496307614	0.06094824293353705	0.088036350903998
7	0.02327884278711485	0.04190191701680672	0.0605249912464986
8	0.01604352678571429	0.02887834821428571	0.04171316964285715
9	0.01107767325680272	0.0199398118622449	0.02880195046768708
10	0.007660093209491246	0.01378816777708424	0.01991624234467724
11	0.005303141452724708	0.00954565461490447	0.01378816777708424
12	0.003674983989168876	0.006614971180503976	0.00955495837183908
13	0.002548779218294543	0.004587802592930178	0.006626825967565813
14	0.001768928860458153	0.003184071948824675	0.004599215037191199
15	0.001228422819762606	0.002211161075572691	0.003193899331382777
16	0.000853514556588304	0.001536326201858948	0.002219137847129592
17	0.0005932967039699188	0.001067934067145854	0.00154257143032179
18	0.0004125798918411505	0.0007426438053140709	0.001072707718786992
19	0.0002870120986721047	0.0005166217776097884	0.0007462314565474726
20	0.0001997249140244027	0.0003595048452439249	0.0005192847764634474
21	0.0001390242048601234	0.0002502435687482223	0.0003614629326363212
22	0.0000967972267484037	0.0001742350081471267	0.0002516727895458498
23	0.00006741235434263828	0.0001213422378167489	0.0001752721212908597
24	0.0000469581784523506	0.0000845247212142311	0.0001220912639761116
25	0.00003271676367581804	0.0000588901746164725	0.000085063585557127
26	0.00002279868964810942	0.00004103764136659699	0.00005927659308508453
27	0.000015889995815349	0.00002860199246762819	0.00004131398911990741
28	0.00001107660292237831	0.00001993788526028096	0.00002879916759818363
29	7.722420347291922 × 10⁻⁶	0.00001390035662512546	0.00002007829290295901
30	5.384680854404231 × 10⁻⁶	9.69242553792 × 10⁻⁶	0.00001400017022145
31	3.755106385308214 × 10⁻⁶	6.759191493554787 × 10⁻⁶	9.76327660180 × 10⁻⁶

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