Novel Iterative Approaches: Examining Stability, and Convergence

Charu  Batra; Rakesh  Kumar; Man Singh

doi:10.5269/bspm.81657

Novel Iterative Approaches: Examining Stability, and Convergence

Authors

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 Department of Mathematics, Motilal Nehru College University of Delhi, 110001

DOI:

https://doi.org/10.5269/bspm.81657

Abstract

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 Sâˆ— 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.