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International Journal of Research and Innovation in Applied Science (IJRIAS)

Fixed Point Based Secure Key Generation in Generalized Fuzzy Metric Spaces for Cryptographic Applications

byShikha Shende; Namrata Tripathi

Published July 4, 2026  •  Vol. 11, Issue 6, pp. 2152–2158Open Access
DOI: 10.51584/IJRIAS.2026.11060162

Abstract

This research introduces a novel cryptographic framework based on fixed point theory in generalized fuzzy metric spaces. The proposed model combines concepts of fuzzy distance, nonlinear contractions, and iterative fixed point mappings to generate secure cryptographic keys. The framework improves uncertainty handling, resistance against attacks, and secure communication in distributed systems. Existence and uniqueness of fixed points are established using generalized fuzzy contraction mappings. Applications in symmetric key generation, authentication systems, and secure communication are discussed.

Keywords: Cryptography, Fixed Point, Key and Security.

JournalInternational Journal of Research and Innovation in Applied Science (IJRIAS)
ISSN2454-6194
Volume / IssueVolume 11, Issue 6
Pages2152–2158
Publication dateJuly 4, 2026
DOI10.51584/IJRIAS.2026.11060162
PublisherRSIS International
LicenseOpen Access

How to cite this article

Shikha Shende, & Namrata Tripathi (2026). Fixed Point Based Secure Key Generation in Generalized Fuzzy Metric Spaces for Cryptographic Applications. International Journal of Research and Innovation in Applied Science (IJRIAS), 11(6), 2152-2158. https://doi.org/10.51584/IJRIAS.2026.11060162

BibTeX

@article{Shikha2026,
  title   = {Fixed Point Based Secure Key Generation in Generalized Fuzzy Metric Spaces for Cryptographic Applications},
  author  = {Shikha Shende and Namrata Tripathi},
  journal = {International Journal of Research and Innovation in Applied Science (IJRIAS)},
  volume  = {11},
  number  = {6},
  pages   = {2152--2158},
  year    = {2026},
  doi     = {10.51584/IJRIAS.2026.11060162},
  publisher = {RSIS International}
}