Sentence examples for by solving the fixed-point from inspiring English sources

By solving the fixed-point Eqs.

The adjustment is made in Step 2 by solving the fixed-point Eqs.

Moreover, the GNE has to satisfy the so-called best response solution for each user, by solving the fixed-point system of equations mathbf{p}_{k}^={text{texttt{BR}}}left(mathbf{p}_{-k}^right), ;;; forall k in{mathcal{K}}, (23).

Finally, these bifurcation curves can be replotted in the ( h E, h I ) -plane by numerically solving the fix point equations (41) for fixed w.

We first find the fixed points of the map by solving the fixed point equation (3.11).

However, we can solve the BMI problem by solving the LMI problem for a fixed variable.

A lower bound is constructed by solving the discrete optimization model with some of the discrete variables fixed.

The remaining fixed effects were set to 0. 4- The vector of BLUP estimated breeding values is obtained by solving the mixed model equations using y.

Find x 1, y 1 by solving the following equations: Find x 2, y 2 by solving the following equations: Find x n, y n by solving the following equations: In view of the above, we have the following implicit iterative algorithm: Now we show that can be employed to approximate fixed points of asymptotically nonexpansive mapplings, which are assumed to be Lipschitz continuous.

It has been shown that many of problems encountered in the study of stability by means of the Lyapunov's direct method can be solved by means of the fixed point theory.

Recently, Burton [1 4], Jung [5], Luo [6], and Zhang [7] studied the stability by using the fixed point theory which solved the difficulties encountered in the study of stability by means of Liapunov's direct method.