Sentence examples for guess arbitrarily from inspiring English sources

Take an initial guess arbitrarily, and define recursively by (3.3).

Take an initial guess arbitrarily, and define recursively as.

Take an initial guess arbitrarily, and define a sequence as follows: (2.18).

where the initial guess is arbitrarily chosen, for all n, and is a nonexpansive mapping with fixed points.

In 2003, Xu [13] proved that the sequence defined by the iterative method below, with the initial guess chosen arbitrarily (16).

In [10, 11], it is proved that the sequence defined by the iterative method below, with the initial guess chosen arbitrarily, (1.10).

In[3] (see also [4]), it is proved that the sequence defined by the iterative method below, with the initial guess chosen arbitrarily, (1.3).

In this paper, motivated and inspired by Atsushiba and Takahashi [9], Lau et al. [10], Marino and Xu [6] and Xu [4, 11], we introduce the iterative below, with the initial guess chosen arbitrarily, (1.14).

where is a sequence in the interval and the initial guess is chosen arbitrarily.

where the initial guess is selected arbitrarily, and and are two sequences of positive numbers in.

where is the identity operator and is the metric projection of onto, and the initial guess is chosen arbitrarily, converges strongly to the unique solution of VI (1.5) provided, is small enough.