Authors:
Maitreyee Dey,Hiral Raja,Vasavi Cheruku,DOI NO:
https://doi.org/10.26782/jmcms.2026.02.00002Keywords:
G-metric space,Fixed point,Mann iteration,Rational contraction,G-convergence,Iterative approximation,Abstract
In this work, we use the Mann iteration process rather than the conventional Picard operator to extend fixed point findings in G-metric spaces. Mann iteration is known to provide better convergence properties and stability in fixed point approximations, particularly in cases where Picard iteration fails due to weak contractive conditions. We present a new family of?rational-type contractive conditions and prove the existence and uniqueness of fixed points of single-valued mappings in G-complete G metric spaces. Specifically, we improve upon existing theorems in the literature both by generalizing their?statements as well as strengthening their use through an improved iterative scheme.Refference:
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