Sentence examples for based on fixed point from inspiring English sources

Existence and equivalence of the solution are analyzed and proved in the paper based on fixed point theorem.

This result is based on fixed point iterations for contractive mappings, in particular, no monotonicity or sign preservation properties are needed.

Traditional approaches for finding its minimal nonnegative solution are based on fixed point iterations and the speed of the convergence is linear.

Several sufficient conditions are obtained ensuring the existence and global exponential stability of almost periodic solution for BAM neural networks with distributed delays based on fixed point method and some analysis technique.

The discussions are based on fixed point theorems.

Proof of Theorem 1 The arguments are based on fixed point index theory.

In this context, several detailed packet-level models have been proposed, based on fixed-point equations.

Moreover, the fixed-point design space is very large and it cannot be explored with classical techniques based on fixed-point simulations.

As system (P) has no variational structure, our main arguments are based on fixed-point index and comparison theorems, following the ideas of [8, 10] and [11].

However, this imposes a significant challenge in assessing the statistical significance of the similarity because the conventional probability model that is based on fixed-point matching cannot be applied.

Numerical results show that the use of adapted process is particularly useful for nonlinear hysteretic systems where hysteretic effects undermine the effectiveness of conventional importance sampling method based on fixed design points.