Novel Iterative Approaches: Examining Stability, and Convergence

  • Charu Batra Department of Mathematics, Maharshi Dayanand University, Rohtak 124001
  • Rakesh Kumar Department of Applied Science and Humanities, Raj Kumar Goel Institute of Technology, Ghaziabad, 201003 India.
  • Man Singh Delhi Technological University
DOI: https://doi.org/10.5269/bspm.81657

Resumo

In this paper, we propose a new iterative method for approximating fixed points of contraction
mappings. We prove a convergence theorem and evaluate its rate of convergence regarding the KF, AA,
Piri, and S∗ iterative algorithms. In addition, we present findings on stability. These findings contribute to
the ongoing development of iterative algorithms for nonlinear problems in various mathematical and applied
contexts.

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Publicado
2026-02-21
Edição
v. 44 n. 7 (2026): Nonlinear Analysis and Applied Mathematics
Seção
Special Issue: Non-Linear Analysis and Applied Mathematics

Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática

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