Sentence examples for obtaining fixed from inspiring English sources

One can see in the literature on metric fixed point theory that condition (1.1) has been extended and generalized by fixed point theorists in many ways for obtaining fixed points, common fixed points and, very recently, proximal points in different spaces.

Following Kannan's result, a lot of papers were devoted to obtaining fixed point or common fixed point theorems for various classes of contractive type conditions that do not require the continuity of the mappings; see, for example, [24] and [31].

Very recently, some new methods were presented for obtaining fixed point and coupled fixed point results.

This section is dedicated to obtaining fixed point theorems under R-contractivity conditions.

Therefore, the problem of obtaining fixed point results in nearly uniformly convex spaces remained open.

For the use of lower semicontinuous functions in obtaining fixed point theorems in cone metric spaces we refer to [9].

In the existing literature, contractive conditions are imposed on mappings to obtain fixed points and common fixed points.

Recently, Ilić and Rakočević [2] obtained fixed point and common fixed point theorems in terms of -distance on complete metric spaces (see also [3 9]).

Therefore, Theorem 3.4 is not applicable to obtain fixed point of or common fixed points of and.

Eukaryotic organisms are only able to obtain fixed nitrogen through their symbiotic interactions with nitrogen-fixing prokaryotes.

From (2.31), we obtain fixed points.