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Convergence of Fixed Points for Relatively Nonexpansive Mappings via Ishikawa Iteration

Publication Type : Journal Article

Publisher : Springer Science and Business Media LLC

Source : International Journal of Applied and Computational Mathematics

Url : https://doi.org/10.1007/s40819-025-01950-6

Campus : Coimbatore

School : School of Physical Sciences

Department : Mathematics

Year : 2025

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.

Cite this Research Publication : Veerasamy Pragadeeswarar, Raju Gopi, Choonkil Park, Jung Rye Lee, Convergence of Fixed Points for Relatively Nonexpansive Mappings via Ishikawa Iteration, International Journal of Applied and Computational Mathematics, Springer Science and Business Media LLC, 2025, https://doi.org/10.1007/s40819-025-01950-6

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