Abstract
AbstractIn this paper, we introduce the notion of a conditionally F-contraction in the setting of complete metric-like spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve several results in the literature.
Highlights
Introduction and preliminariesRecently, Wardowski [ ] introduced the notion of a F-contraction mapping and investigated the existence of fixed points for such mappings
We present the notion of conditionally F-contractions of various types and we investigate the existence of a fixed point for such mappings in metric-like spaces
We present some criteria for the uniqueness of a fixed point
Summary
Introduction and preliminariesRecently, Wardowski [ ] introduced the notion of a F-contraction mapping and investigated the existence of fixed points for such mappings. We present the notion of conditionally F-contractions of various types and we investigate the existence of a fixed point for such mappings in metric-like spaces. A mapping T : X → X is said to be a Fweak contraction on (X, d) if there exist F ∈ F and τ > such that, for all x, y ∈ X satisfying d(Tx, Ty) > , the following holds: τ + F d(Tx, Ty) max d(x, Ty) + d(y, Tx) d(x, y), d(x, Tx), d(y, Ty),
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