Journal of Applied Mathematics & Data Analytics

Journal of Applied Mathematics & Data Analytics

Extensions of Geraghty Contraction Mappings and Fixed Point Results in S-Metric Spaces

Document Type : Research Article

Authors
1 3Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, Medunsa-0204, South Africa
2 Department of mathematics, Payame Noor university,Tehran, Iran
3 5Faculty of Science and Mathematics, University of Nis, Visegradska 33, 18000 Nis, Serbia
Abstract
We introduce two new types of Geraghty contraction mappings on S-metric spaces: (α, (Q, h), μ)−Geraghty contraction and its generalized form. We establish fixed point theorems ensuring existence and uniqueness of fixed points under these mappings. Our results extend classical fixed point theory with relaxed contractive conditions. Examples are provided to illustrate the applicability of the theorems.
Keywords

Volume 1, Issue 1
Spring 2025
Pages 60-81

  • Receive Date 27 August 2025
  • Revise Date 11 September 2025
  • Accept Date 24 September 2025
  • Publish Date 01 June 2025