Research Article

Convergence of Infinite Family of Multivalued Quasi-Nonexpansive Mappings Using Multistep Iterative Processes

Table 1

Showing the convergence of different iterative sequences to common fixed point {0} of countable family of multivalued quasi nonexpansive mappings. From the table we can compare the converging step of one-step, two-step, multistep (6), and multistep (7) iterative schemes and conclude that multistep iterative scheme (7) converges faster than one-step, two-step, and multistep iterative schemes (6).

Multistep iterative scheme (6)Multistep iterative scheme (7)
1-step2-step3-step5-step3-step5-step

1
2
3
11
12
13
140
150
160
270
2800
2900
4600
470000
480000
550000
5600000
5700000
82900000
830000000
831000000