Sentence examples for setting of order from inspiring English sources

We interpret our methods into the setting of order domain theory.

Our results extend and improve several known results from the context of ordered metric spaces to the setting of ordered b-metric spaces.

Our results extend several known results from the context of ordered metric spaces to the setting of ordered b-metric spaces.

Our results extend and generalize the results in [22] and [25] from the context of ordered metric spaces to the setting of ordered b-metric spaces.

In [3], Harjani and Sadarangani extended Theorem 1.5 of Dutta and Choudhury [20] to the setting of ordered metric spaces.

Note that the respective result in the setting of ordered cone metric spaces is proved in [14].

In the setting of ordered metric spaces, the conditions (1.1 1.3) are required to hold merely for all comparable pairs of elements (x, y in X).

In [1], Ran and Reurings established the following fixed point theorem that extends the Banach contraction principle to the setting of ordered metric spaces.

We establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying -contractive conditions in the setting of ordered generalized metric spaces.

In this article, we present new coupled fixed point theorems for mixed monotone mappings satisfying a generalized Mizoguchi-Takahashi's condition in the setting of ordered metric spaces.

We derive some new coupled fixed point theorems for nonlinear contractive maps that satisfied a generalized Mizoguchi-Takahashi's condition in the setting of ordered metric spaces.