Sentence examples for by considering a generalization from inspiring English sources

In this paper, we further extend our analysis by considering a generalization of the previous model in which the rate of packet emission is regulated by the local congestion perceived by each node.

We overcome this problem by considering a generalization of the LS-algorithm, the term-order-free reverse engineering method.

In [6], the authors give a generalization of Theorem 1.2 by considering a non-self mapping, and they get the following theorem.

In [2], the authors give a generalization of Theorem 1.2 by considering a nonself map and they get the following theorem.

The aim of this paper is to give a generalization of Theorem 1.1 by considering a non-self map T. First, we present a brief discussion about a best proximity point.

This replacement of squares with parallelograms bears a clear resemblance to the original Pythagoras's theorem, and was considered a generalization by Pappus of Alexandria in 4 A.D.

In particular, Geraghty [6] obtained a generalization of the Banach contraction principle in the setting of complete metric spaces by considering an auxiliary function.

Aoki [3] presented a generalization of Hyers results by considering additive mappings, and later on Rassias [4] did for linear mappings by considering an unbounded Cauchy difference.

Furthermore, we also consider a generalization of the construction.

We consider a generalization of the knapsack problem in which items are partitioned into classes, each characterized by a fixed cost and capacity.

We consider a generalization ϕ X0,X1 p0,p1 of the method of means to arbitrary non-degenerate functional parameter.