Sentence examples for this article is to prove from inspiring English sources

The aim of this article is to prove the following Theorem 2.1.

The aim of this article is to prove a similar result.

The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi-relatively nonexpansive mappings.

The purpose of this article is to prove the semi-local as well as local convergence analysis of Algorithms 1.3 and 1.4.

The purpose of this article is to prove that a new version of Clark's theorem (see [27]) is still valid for fractional Laplacian problem (P).

The aim of this article is to prove some new common coupled fixed point theorems for mappings defined on a set equipped with two generalized metrics.

We have called this phenomenon stochastic synchronization, and we stress the fact that the formalism developed in this article is able to prove its existence for a completely generic anatomical connectivity whose eigenvalues satisfy a bland condition.

The purposes of this article are: (i) to prove the positivity and uniqueness results for the problem, and (ii) to employ the lower and upper solutions method (see [14]) to construct two monotone sequences which converge uniformly to the exact solution of the problem.

The stability analysis in this article is proved by using a well-known Lyapunov stability theorem.

The purpose of this article is under suitable conditions to prove some weak and strong convergence theorems for solving multiple-set split feasibility problem (1.1) for a κ-asymptotically strictly pseudo-nonspreading mapping in infinite-dimensional Hilbert spaces.

Updated at 6.20pm BST 5.39pm BST From the comment thread Seroeth 18 September 2013 11 28am Emmmm Guardian, this is propaganda based on total lies, why is this article being allowed? it has been clearly proven that the arctic ice sheet has grown by 60% since last year.