On certain fixed point theorems for F-contractions in 2-metric spaces and their application


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Authors

  • Hemavathy K Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology,Chennai-600026, Tamilnadu
  • Thalapathiraj S SRMIST VADAPALANI CAMPUS

Keywords:

fixed point, metric space

Abstract

This paper focuses on investigating F-contractions in 2-metric spaces and proving multiple fixed point theorems related to these contractions. Through the definition and analysis of F-contraction map-pings in the context of 2-metric spaces, the research sheds light on the existence and uniqueness of fixed points. The findings enhance the over-all comprehension of fixed point theory and its applications, providing useful resources for further exploration in mathematical analysis and associated areas.

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Published

2025-01-17

How to Cite

Hemavathy K, & Thalapathiraj S. (2025). On certain fixed point theorems for F-contractions in 2-metric spaces and their application. Results in Nonlinear Analysis, 8(1), 1–12. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/526

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