Sentence examples for by applying our main from inspiring English sources

By applying our main results, we derive several fixed point results for various set-valued Prešić type operators.

In this section, by applying our main results we will study the persistence of the exponential stability in the presence of variational structured perturbations.

Also, we obtain a coupled fixed point theorem in metric spaces by applying our main result, and we give applications to fixed point and coupled fixed point theorems in partial metric spaces.

Applying our main results to a Hilbert space, we have drawn the corresponding conclusions announced by some authors.

The next valuable lemma is proved for applying our main results.

In this section, by a scalarization method used in [7], we apply our main results in metric spaces to cone metric spaces, and obtain some new theorems.

We apply our main result to maximal regularity for Cauchy problems involving A.

We also apply our main results to solve equilibrium problems in reflexive Banach spaces.

Now we apply our main results to subexponential and long-tailed-type distribution functions.

Finally, we apply our main results for proving a fixed point theorem involving a cyclic mapping.

We apply our main results for proving a fixed point theorem involving a cyclic mapping.