Fixed Point Theory and Algorithms for Sciences and Engineering

Table 2 Numerical results for the varied initial point \(x_{1}\)

From: A Tseng-type algorithm for approximating zeros of monotone inclusion and J-fixed-point problems with applications

n	\(\\|x_{n+1}-x^{*}\\|\) for the First and Second \(x_{1}\)
	Algorithm (3)		Algorithm (9)		Algorithm 3.1
	\(\text{First }x_{1}\)	\(\text{Second }x_{1}\)	\(\text{First }x_{1}\)	\(\text{Second }x_{1}\)	\(\text{First }x_{1}\)	\(\text{Second }x_{1}\)
2	3.1401	2.2657	3.1245	2.2544	3.0667	2.2589
10	3.0021	2.1661	2.8568	2.0612	5.4641	12.1081
40	2.5844	1.8647	2.1195	1.5293	1.6811	3.7584
90	2.0135	1.4528	1.2887	0.9298	0.4827	0.9486
150	1.4923	1.0767	0.7094	0.5118	0.0977	0.2025
220	1.0521	0.7591	0.3535	0.2551	0.0093	0.0184
300	0.7057	0.5091	0.1594	0.1151	0.0005	0.0011
400	0.4283	0.3091	0.0589	0.0425	3.04E−05	6.97E−05
422	0.3837	0.2769	0.0473	0.0341	8.34E−06	1.19E−05
423	0.3818	0.2755	0.0469	0.0338	successful	7.29E−06
434	0.3799	0.2741	0.0464	0.0335	successful	successful
500	0.2600	0.1876	0.0218	0.0157	successful	successful
1000	0.0214	0.0154	0.0001	0.0001	successful	successful
1244	0.0063	0.0045	1.34E−05	9.94E−06	successful	successful
1275	0.0054	0.0039	9.92E−06	successful	successful	successful
1700	0.0006	0.0004	successful	successful	successful	successful
1999	0.0001	0.0001	successful	successful	successful	successful

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