A UNIFIED APPROACH TO Fα-CONTRACTIONS IN S-METRIC SPACE THEORY

In this paper, we introduce a new class of contractive mappings called generalized Fα-contractions and establish fixed point theorems for such mappings in complete S-metric spaces. By employing the concept of α-admissibility, our results extend and unify several known fixed-point theorems. Examples are provided to illustrate the applicability and significance of the main results.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-05-18
DOI
https://doi.org/10.5281/zenodo.15459413
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

A UNIFIED APPROACH TO Fα-CONTRACTIONS IN S-METRIC SPACE THEORY

Zenodo (CERN European Organization for Nuclear Research)
Fixed Point Theorems Analysis
article

A UNIFIED APPROACH TO Fα-CONTRACTIONS IN S-METRIC SPACE THEORY

article en

Abstract

In this paper, we introduce a new class of contractive mappings called generalized Fα-contractions and establish fixed point theorems for such mappings in complete S-metric spaces. By employing the concept of α-admissibility, our results extend and unify several known fixed-point theorems. Examples are provided to illustrate the applicability and significance of the main results.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 53%
Fixed Point Theorems Analysis
DOIOpen Access PDFOpenAlex
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A UNIFIED APPROACH TO Fα-CONTRACTIONS IN S-METRIC SPACE THEORY · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS