Sentence examples for maps we obtain from inspiring English sources

In this section, using the concept of -compatible maps, we obtain a unique coupled common fixed point of two mappings.

Since then the map defined in (2.2) has two fixed points, say and where Now, the other elements of the unstable cycle are given by Let From the monotonicity of the maps we obtain for all Thus Now, if then and the monotonicity of implies For sufficiently large which completes the proof.

Taking the the cone of the sum of these maps, we obtain an object (E_1 in {text {Ho}}(mathsf{Ind},mathcal {C})) equipped with a map (alpha _1 E rightarrow E_1) whose cone lies in ({text {Ho}}(mathsf{Ind},mathcal {C}_0)) and such that for any (E' in {mathcal {D}}_0) and a map (f:E' rightarrow E), we have (alpha _1 circ f = 0).

By combining differential inclusions with set-valued maps, we obtained the existence of the solutions for the given delayed system.

Fig. 11 shows the saliency maps we obtained for selected frames in 6 videos.

The retinotopic maps we obtained in our experiments revealed previously unknown details of the organisation of the two brain areas.

Since every relatively nonexpansive mapping is a hemi-relatively nonexpansive mapping, we obtain the following result for a countable family of relatively nonexpansive mappings of modified Ishikawa iterative process.

And since is a nonexpansive mapping, we obtain (3.17).

Since T is a non-decreasing mapping, we obtain inductively (z_{n}leqbar{y}) for (ngeq0).

If S is an identity mapping, we obtain from Theorem 3.1 the following.

Since and is a nondecreasing mapping, we obtain by induction that (2.3).