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September 10, 2025European Journal of Pure and Applied MathematicsOpen Access

Common Fixed Points of Triplet Mappings in GM-Spaces with Applications to AI Convergence and Cryptographic Consensus

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Authors

MNMaha NoorwaliRHRaed HatamlehAKArif Mehmood Khattak

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Overview

This investigation reveals unique fixed points in generalized metric spaces, highlighting applications in AI convergence and cryptographic protocols.

Key Points

  • Unique common fixed points exist under specific contractive conditions in generalized metric spaces.
  • The approach utilizes a theoretical framework with distance-like terms for triplet mappings to establish convergence.
  • An example with the G-metric shows piecewise mappings satisfying conditions, demonstrating practical applications.
  • Results extend fixed-point theory and offer computational methods viable for both mathematical and applied stability analysis.

Cite This Study

Noorwali et al. (2025) studied this question.

synapsesocial.com/papers/68c1a77a54b1d3bfb60e0bfdhttps://doi.org/10.29020/nybg.ejpam.v18i3.6321
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Generalized Contractive Mappings and Fixed-Point Theorems in Complete G-Metric Spaces2026
  2. 2On Weak Compatible Mappings, 3‐D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application2025
  3. 3Common Fixed Point Solutions for Pair of Mappings Via Contraction with Admissibility2024
  4. 4Common Fixed Point Results for Contractive Mappings in Bicomplex Valued B-Metric Spaces2024
  5. 5Common Fixed-Point Theorems for Non-Self P-Contractions Mapping in Metrically Convex Spaces2025