Fixed Point Theory and Algorithms for Sciences and Engineering

Table 2 Values choosing \(u^{1}=(0,-\frac{1}{4})^{T} \), \(v^{1}= (- \frac{1}{2}, 1)^{T}\)

From: Iterative algorithms for solutions of Hammerstein equations in real Banach spaces

	Algorithm (1.8)		Algorithm (1.9)		Algorithm (3.9)
n	\(\\|u_{n+1}\\|\)	\(\\|v_{n+1}\\|\)	\(\\|u_{n+1}\\|\)	\(\\|v_{n+1}\\|\)	\(\\|u_{n+1}\\|\)	\(\\|v_{n+1}\\|\)
1	0.25	1	0.25	1	0.25	1
2	2.747	7.0	1.869	4.8033	2.018	5.101
3	8.31	18.25	7.7957	16.312	8.738	19.059
10	0.683	4.419	914.49	2771.05	1040.71	3389.62
20	0.0224	0.0409	1362.57	8426.81	3612.04	13,675.89
50	6.307 × e⁻⁵	0.0004	0.0929	0.2106	0.0718	0.2818
80	1.678 × e⁻⁵	2.23 × e⁻⁵	0.0015	0.0161	9.382 × e⁻⁸	2.875 × e⁻⁸
383	1.106 × e⁻⁸	5.064 × e⁻⁹	0.0007	0.0075	successful
500	successful		0.0006	0.0065	successful
1000	successful		0.0004	0.0046	successful

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