Weak $F$-contractions and some fixed point results

Document Type : Research Paper

Author

‎‎Department of Mathematics and Informatics Faculty of Sciences‎, ‎Lucian Blaga University of Sibiu‎, ‎Romania.

Abstract

In this paper we define weak $F$-contractions on a‎ ‎metric space into itself by extending $F$-contractions‎ ‎introduced by D‎. ‎Wardowski (2012) and provide some fixed point‎ ‎results in complete metric spaces and in partially ordered complete ‎generalized metric spaces‎. ‎Some relationships between weak‎ ‎$F$-contractions and $\varphi$-contractions are highlighted‎. ‎We also ‎give some applications on fractal theory improving the classical‎ ‎Hutchinson-Barnsley's theory of iterated function systems‎. ‎Some‎ ‎illustrative examples are provided‎.

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Main Subjects


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