Sentence examples for obtain fixed from inspiring English sources

As an application of the results obtained herein, we obtain fixed and common fixed point results in the framework of modular space endowed with a directed as well as undirected graph.

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

A contractive condition in terms of a measure of noncompactness, which was first used by Darbo, is one of the fruitful tools to obtain fixed point and common fixed point theorems.

Inspired by the class of α-ψ contractive type mappings which was introduced by Samet et al. [10], Ansari [11] presented the weaker class of this contraction named (F psi,varphi -contraction and used it to obtain fixed point and common fixed point results.

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.

To obtain fixed points for some maps for which Picard iteration fails, a number of fixed point iteration procedures have been developed.

From (2.31), we obtain fixed points.

Next we obtain fixed point results by means of the τ-GGLD and the Opial property.

Many authors have been using the Hausdorff metric to obtain fixed point results for multivalued maps.

However, we impose subtle restrictions to obtain fixed point results for such mapping.