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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 78

Volume : 20 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2024.2002.23
Author :
Bhumika Rani (Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala - 147004, Punjab, INDIA)
Jatinderdeep Kaur (Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala - 147004, Punjab, INDIA)
Satvinder Singh Bhatia (Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala - 147004, Punjab, INDIA)

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 mapping, Stability, Fixed point, Convex metric, Convergence.

A.M.S. subject classification

47H09, 47H10, 54H25.

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