Sentence examples for extensions of the notion from inspiring English sources
One of the interesting extensions of the notion of a metric space is the dislocated space, introduced by Hitzler [1].
In this paper we define and study three extensions of the notion of Ćirić quasicontraction to the context of partial metric spaces.
Let us now introduce the definition of Kurzweil integral in Banach spaces, which is one of the possible extensions of the notion of Henstock-Kurzweil integral for real-valued functions (the reader is referred to [7, 8] or [9]).
There are two well known extensions of the notion of metric space to frameworks in which imprecise models are considered: fuzzy metric spaces (see [1 7]) and probabilistic metric spaces [8 11].
On the other hand, in the literature, the words 'generalized metric' space have been used for several different extensions of the notion of metric (see e.g. [7, 9 23]).
With respect to non-probabilistic extensions of the notion of metric space, the perspective can be highlighted introduced by Lowen through his approach spaces (in the sequel, A-spaces).
The paper proposes extensions of the notions of Busemann–Hausdorff and Holmes Thompson volume to time orientable Finslerian spacetime manifolds.
The proposed approach resorts to extensions of the notions of (C, A) invariant and unobservability subspaces, and it yields a constructive design method.
For many of its supporters, the new law represents an extension of the notion of preparedness that is nurtured by Utah's powerful founding institution, the Church of Jesus Christ of Latter-day Saints.
