Fuzzy metric approach to \((\kappa,\alpha,\beta)\)-interpolative Kannan type cyclic contractions and nonlinear integral equations

Patel, Raghu Nandan; Kamlesh, Ruchi

doi:10.28919/eml/10151

Eng. Math. Lett. 2026 (2026), Article ID 7

Fuzzy metric approach to \((\kappa,\alpha,\beta)\)-interpolative Kannan type cyclic contractions and nonlinear integral equations

Raghu Nandan Patel, Ruchi Kamlesh

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Abstract

In this paper, we introduce a new class of \((\kappa,\alpha,\beta)\)-interpolative Kannan type cyclic contractions in fuzzy metric spaces. By extending the recently introduced fuzzy \((\kappa,\alpha,\beta)\)-interpolative Kannan contractions to the cyclic setting, we establish existence and uniqueness results for fixed points under suitable assumptions. The obtained results generalize and unify several well-known fixed point theorems in the existing literature. Illustrative examples are provided to demonstrate the applicability of the proposed results.

Published: 7 September 2026
Volume: 2026 (2026)
License: CC BY 3.0

Copyright © 2026 Raghu Nandan Patel, Ruchi Kamlesh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

R. N. Patel, R. Kamlesh, Fuzzy metric approach to \((\kappa,\alpha,\beta)\)-interpolative Kannan type cyclic contractions and nonlinear integral equations, Eng. Math. Lett. 2026 (2026), 7. https://doi.org/10.28919/eml/10151

BibTeX

@article{Patel2026,
  author  = {Patel, Raghu Nandan and Kamlesh, Ruchi},
  title   = {Fuzzy metric approach to \((\kappa,\alpha,\beta)\)-interpolative Kannan type cyclic contractions and nonlinear integral equations},
  journal = {Eng. Math. Lett.},
  volume  = {2026},
  year    = {2026},
  pages   = {7},
  doi     = {10.28919/eml/10151}
}