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 - <p style="text-align: justify;">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.</p>