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Volume 7, Issue 3
Convergence Analysis for the SM-Iteration in Banach Spaces

Monika Swami & M. R. Jadeja

DOI: 10.12150/jnma.2025.1054

J. Nonl. Mod. Anal., 7 (2025), pp. 1054-1065.

Published online: 2025-05

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this article, the fixed point of the SM iterative approach is approximated via Suzuki mapping. In the context of Banach spaces, we provide both weak and strong convergence for the SM iteration. Then, by comparing it with certain well-known iterations, we give some numerical examples to show the effectiveness of SM iteration for the Suzuki-type mapping.

  • Keywords

Suzuki mapping, Opial’s condition, SM-iteration.

  • AMS Subject Headings

47H09, 47H10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-1054, author = {Swami , Monika and Jadeja , M. R.}, title = {Convergence Analysis for the SM-Iteration in Banach Spaces}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {3}, pages = {1054--1065}, abstract = {

In this article, the fixed point of the SM iterative approach is approximated via Suzuki mapping. In the context of Banach spaces, we provide both weak and strong convergence for the SM iteration. Then, by comparing it with certain well-known iterations, we give some numerical examples to show the effectiveness of SM iteration for the Suzuki-type mapping.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1054}, url = {http://global-sci.org/intro/article_detail/jnma/24115.html} }
TY - JOUR T1 - Convergence Analysis for the SM-Iteration in Banach Spaces AU - Swami , Monika AU - Jadeja , M. R. JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 1054 EP - 1065 PY - 2025 DA - 2025/05 SN - 7 DO - http://doi.org/10.12150/jnma.2025.1054 UR - https://global-sci.org/intro/article_detail/jnma/24115.html KW - Suzuki mapping, Opial’s condition, SM-iteration. AB -

In this article, the fixed point of the SM iterative approach is approximated via Suzuki mapping. In the context of Banach spaces, we provide both weak and strong convergence for the SM iteration. Then, by comparing it with certain well-known iterations, we give some numerical examples to show the effectiveness of SM iteration for the Suzuki-type mapping.

Swami , Monika and Jadeja , M. R.. (2025). Convergence Analysis for the SM-Iteration in Banach Spaces. Journal of Nonlinear Modeling and Analysis. 7 (3). 1054-1065. doi:10.12150/jnma.2025.1054
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