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Table 3 Iterative values with starting point \((3, 1, -2)\)

From: A modified proximal point algorithm involving nearly asymptotically quasi-nonexpansive mappings

No. of iterations (n)

Values of \((\chi _{n}, \varphi _{n}, \varrho _{n})\)

Proposed iteration

Sahu’s iteration

1

(3.0, 1.0, −2.0)

(3.0, 1.0, −2.0)

5

(−0.50004772357, −2.50004772357, −0.00637368436)

(−0.49980722262, −2.49980722262, −0.03339821863)

10

(−0.50000006270, −2.50000006270, −0.00000549690)

(−0.50000094305, −2.50000094305, −0.00020908074)

15

(−0.50000000005, −2.50000000005, −0.00000000474)

(−0.50000000592, −2.50000000592, −0.00000130915)

20

(−0.50000000000, −2.50000000000, 0.00000000000)

(−0.50000000001, −2.50000000001, −0.00000000297)

25

(−0.50000000000, −2.50000000000, 0.00000000000)

(−0.50000000000, −2.50000000000, −0.00000000005)

26

(−0.50000000000, −2.50000000000, 0.00000000000)

(−0.50000000000, −2.50000000000, −0.00000000001)

27

(−0.50000000000, −2.50000000000, 0.00000000000)

(−0.50000000000, −2.50000000000, 0.00000000000)