Sentence examples for derived coupled from inspiring English sources

Further, Samet et al.[11] derived coupled fixed point theorems in complete metric spaces using the previously obtained results.

In this section the finite element technique is used to derive the integral formulation of the derived coupled fluid flow and rock deformation equations through fractured system.

The derived coupled non-linear governing partial differential equations were numerically solved by the orthogonal collocation technique.

The derived coupled discrete continuous nonlinear equations consist of integro-partial-differential equations and piece-wise ordinary differential equations.

The fact that Krief et al. (1990) equations have been half theoretically derived coupled with their adaptation to different types of mixtures makes the equations relevant for inversion purposes.

Wind pressure and friction coefficients, for the different evolving water-film morphologies, are calculated by CFD software, while the instantaneous water film distribution and the vibration of the cable are calculated by numerically solving the derived coupled equations.

Further, we shall use these theorems to derive coupled fixed point theorems in complete metric spaces.

We derive coupled equations for φ and η which give a regularization of the problem.

Now, we derive coupled coincidence point results without the continuity hypothesis of the mappings F, g and the commutativity hypothesis of F, g.

Now, we will show that Theorem 3.4 allow us to derive coupled, tripled and quadruple fixed-point theorems for mixed monotone mappings in partially ordered metric space.

In this article, we derive coupled coincidence and coupled common fixed point theorems in generalized ordered metric spaces for nonlinear contraction condition related to a pair of altering distance functions.