Sentence examples for iteration a class from inspiring English sources

As an example, in first iteration a class was conformed with highly dependent persons.

In 2004, Berinde used the notion of rate of convergence for iterations method and showed that the Picard iteration converges faster than the Mann iteration for a class of quasi-contractive operators [14].

In 1974, Rhoades [4] proved the convergence of Mann iteration for a class of continuous and nondecreasing functions on a closed unit interval, and then he [5] extended convergence results to Ishikawa iterations.

He used this idea to compare the rate of convergence of Picard and Mann iterations for a class of Zamfirescu operators in arbitrary Banach spaces.

Popescu [28] also used this concept to compare the rate of convergence of Picard and Mann iterations for a class of quasi-contractive operators.

Using improved V K iteration algorithm, a class of reliable controllers are designed to make systems asymptotically mean square stable under several stochastic disturbances such as random time-delay and stochastic actuator failure and the maximal redundancy degree is given through this method.

Lan [7] introduced and studied a stable iteration procedure for a class of generalized mixed quasi-variational inclusion systems in Hilbert spaces.

Therefore, Remark 2.2 Condition (34) was proposed in [13] for studying convergence analysis of the Landweber iteration method for a class of nonlinear operators.

In this article, we prove strong convergence of sequence generated by the following iteration sequence for a class of Lipschitzian pseudocontractive mapping T: x n + 1 = β n u + ( 1 - β n ) [ α n T x n + ( 1 - α n ) x n ]. whenever {α n } and {β n } satisfy the appropriate conditions.

The aim of this article is to establish Δ-convergence and strong convergence of a modified three-step iteration process which contains a modified S-iteration process for a class of mappings which is wider than that of asymptotically nonexpansive mappings in (operatorname{CAT} k)) spaces.

If (mathrm{RES}= vert (Au^{ k+1)}+q)^{T} u^{ k+1)}-m u^{ k+1)}-m u^{ k+1psilon), then stop; otherwise, set (k:=k+1) and return to step 2. From Method 3.1 or Method 3.2 we can see that the MMS iteration method belongs to a class of inner-outer iteration methods.