CONVERGENCE AND STABILITY OF A NEW THREE-STEP ITERATIVE TECHNIQUE IN CONVEX METRIC SPACE

In order to approximate the fixed points of a contractive mapping, a new three-step iteration approach is proposed in this study. Additionally, the suggested scheme's stability and convergence are taken into account, and its efficacy for various problems is explored. The novel technique outperforms all the well-known three-step strategies that are currently accessible in the literature, according to several experiments that are described.

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Publication Details

Journal
South East Asian J of Mathematics and Mathematical Sciences
Published
2024-08-30
DOI
https://doi.org/10.56827/seajmms.2024.2002.23
Primary Topic
Advanced Optimization Algorithms Research
Type
article
Field-Weighted Citation Impact
0.00
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article

CONVERGENCE AND STABILITY OF A NEW THREE-STEP ITERATIVE TECHNIQUE IN CONVEX METRIC SPACE

B. Japamala Rani, Jatinderdeep Kaur, S. S. Bhatia
South East Asian J of Mathematics and Mathematical Sciences
Advanced Optimization Algorithms Research
article

CONVERGENCE AND STABILITY OF A NEW THREE-STEP ITERATIVE TECHNIQUE IN CONVEX METRIC SPACE

B. Japamala Rani, Jatinderdeep Kaur, S. S. Bhatia
article en

Abstract

In order to approximate the fixed points of a contractive mapping, a new three-step iteration approach is proposed in this study. Additionally, the suggested scheme's stability and convergence are taken into account, and its efficacy for various problems is explored. The novel technique outperforms all the well-known three-step strategies that are currently accessible in the literature, according to several experiments that are described.

South East Asian J of Mathematics and Mathematical SciencesVol. 20(02)
Sustainable cities and communities
Openalex Percentile: Top 61%
Advanced Optimization Algorithms Research
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