Common fixed point results in function weighted metric spaces

Abstract

In this paper, we consider a common fixed point result in the context of a very recently defined abstract space: "function weighted metric space". We present also some examples to illustrate the validity of the given results.

New Fixed Point Results in F-Quasi-Metric Spaces and an Application

“…for all ðx, yÞ and ðx * , y * Þ in X 2 , where k ∈ ð0, 1Þ. Then, T and g contain a unique common coupled fixed point in X 2 .…”

“…Definition 1 [1,2]. A function f : ð0, +∞Þ ⟶ ℝ is named called a nondecreasing function if f ðs 1 Þ ≤ f ðs 2 Þ for every s 1 , s 2 ∈ ð0, +∞Þ.…”

“…In 2019, some of researchers such as Alqahtani et al [2], Aydi et al [3], and Bera et al [4] discussed on the structure of this space and on the fixed points of mappings satisfying in various contractive conditions.…”