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Convergence of Fixed Points for Relatively Nonexpansive Mappings via Ishikawa Iteration

Authors
Pragadeeswarar, VeerasamyGopi, RajuPark, ChoonkilLee, Jung Rye
Issue Date
Aug-2025
Publisher
Springer India
Keywords
Best proximity point; Fixed point; Relatively non expansive mapping; Von Neumann sequence
Citation
International Journal of Applied and Computational Mathematics, v.11, no.4, pp 1 - 15
Pages
15
Indexed
SCOPUS
Journal Title
International Journal of Applied and Computational Mathematics
Volume
11
Number
4
Start Page
1
End Page
15
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/207962
DOI
10.1007/s40819-025-01950-6
ISSN
2349-5103
2199-5796
Abstract
By using the Ishikawa iterative algorithm, we approximate fixed points and best proximity points of a relatively nonexpansive mapping. Furthermore, we use the von Neumann sequence to prove the convergence result in a Hilbert space setting. A comparison table is prepared using a numerical example which shows that the Ishikawa iterative algorithm is faster than some known iterative algorithms such as Picard and Mann iteration.
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