Sentence examples for an iteration process from inspiring English sources

In 1974, Ishikawa [6] introduced an iteration process where { x n } is defined iteratively for each positive integer n ≥ 0 by x n + 1 = ( 1 − α n ) x n + α n T y n, y n = ( 1 − β n ) x n + β n T x n. } (1.4).

Such an iteration process is known as Mann iteration.

Those difficulties are found in an iteration process that contains a near-singular system of equations.

It is, therefore, essentially an iteration process and so guidance is provided on how to achieve convergence of the equations.

Moreover, they introduced and studied an iteration process of a nonexpansive semigroup in a Hilbert space : (1.5).

In 2014, Xu [3] gave an iteration process and proved weak convergence theorems to the solution for the problem (1.1).

In 2001, Xu and Ori [4] have introduced an implicit iteration process for a finite family of nonexpansive mappings.

The underlying idea is to determine a good starting vector for an inverse iteration process from the twisted block factorizations such that a good eigenvector approximation can be computed with a single step of inverse iteration.

Recently, Xu and Ori [1] have introduced an implicit iteration process below for a finite family of nonexpansive mappings.

Remark 3 Equation (2.3) is an implicit iteration process.

The first result concerning the convergence of an Ishikawa iteration process for multivalued mappings was proved by Sastry and Babu [29] in a Hilbert space.