Sentence examples similar to fixed point context from inspiring English sources

In [6], Roldán et al. proved that most of the multidimensional fixed point results can be derived from the existing fixed point theorems in the context of partially preordered metric spaces with the additional hypothesis of the mixed monotone property.

Many authors have obtained fixed point results in the context of G-metric spaces [21 28].

The authors characterized the Banach fixed point theorem in the context of a G-metric space.

Hence, all fixed point results in the context of multiplicative metric spaces can easily be concluded from the corresponding existing famous fixed point results in the context of the standard metric.

In paper [15], the author also characterized the celebrated Banach fixed point theorem in the context of multi-valued mappings.

In this paper, the author introduced the following notion of partial metric spaces and proved the Banach fixed point theorem in the context of complete partial metric space.

The aim of this section is to deduce some best proximity and fixed point results in the context of partially ordered metric spaces.

The study of fixed point theory in the context of modular function spaces was initiated by Khamsi et al. [22] (see also [22 26]).

It is an open problem to obtain Ulam-Hyers stability results for the coupled fixed point problem in the context of ordered metric spaces.

In this paper, we prove the existence and uniqueness of some Meir-Keeler type n-tupled fixed point theorems in the context of partially ordered partial metric spaces.

Remark 2.1 We notice that some fixed point result in the context of G-metric can be obtained by usual (well-known) fixed point theorems (see, e.g., [50, 51]).