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

Hojjat Ansari, Arsalan; Jafari Petroudi, Seyyed Hossein; Rakocevic, Vlademir

doi:10.311581/JAMDA.2508.1004.1.1.5

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

Document Type : Research Article

Authors

Arsalan Hojjat Ansari ¹

Seyyed Hossein Jafari Petroudi ²

Vlademir Rakocevic ³

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

10.311581/JAMDA.2508.1004.1.1.5

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

S-metric spaces

(&alpha

&mu

)&minus

Geraghty contraction

pair (Q

h) upper class