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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 20, Issue 2 Article
Research Article

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

B
Bhumika Rani Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala - 147004, Punjab, INDIA
J
Jatinderdeep Kaur Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala - 147004, Punjab, INDIA
S
Satvinder Singh Bhatia Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala - 147004, Punjab, INDIA
Volume 20, Issue 2 Pages 323-332 August 30, 2024 156 downloads
Article overview

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.

Keywords and Phrases

Contraction mappingStabilityFixed pointConvex metricConvergence.

AMS Subject Classification

47H09, 47H10, 54H25.

Reference information

How to Cite

Bhumika Rani, Jatinderdeep Kaur, Satvinder Singh Bhatia (2024). CONVERGENCE AND STABILITY OF A NEW THREE-STEP ITERATIVE TECHNIQUE IN CONVEX METRIC SPACE. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 323-332.
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