New Results on F-Contractions in Complete Metric Spaces

Author:

Vujaković JelenaORCID,Kontrec NatašaORCID,Tošić MarinaORCID,Fabiano NicolaORCID,Radenović Stojan

Abstract

The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski’s F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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1. Triple‐Composed Metric Spaces and Related Fixed Point Results With Application;Journal of Function Spaces;2024-01

2. On F-Contractions: A Survey;Contemporary Mathematics;2022-08-09

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