For that, let us recall some useful properties enjoyed by elliptic variational inequalities of obstacle type.
For measurable subsets A, B of ℝ, by A = B we mean m ( A ÷ B ) = 0. Let us recall some useful properties of a nonincreasing rearrangement operator.
Let us first give some useful properties of (operatorname{CAP}(S,T)) on the lines similar to Lemmas 1, 2, and 3.
In this section we introduce some useful properties and lemmas which will be used in the proofs for the main results in the next section.
Further, we give some useful properties of cone metric spaces, which allow us to prove convergence results for Picard iteration with a priori and a posteriori error estimates.
Also, in this paper we present some useful properties of cone metric spaces, which allow us to establish convergence results for Picard iteration with a priori and a posteriori error estimates.
Also, in this section, we give some useful properties of cone metric spaces which allow us to establish convergence results for Picard iteration with a priori and a posteriori error estimates (Theorem 9.6 and Theorem 9.9).
Here, we collect some useful properties of the (d_{infty} -metric, which will be used in order to obtain our results.
Some useful properties of the defined preference degree are discussed.
Finally a new schedule has been proposed that exhibits some useful properties.
We recall these constructions and prove some useful properties of subgroups and amalgamated free products of discrete quantum groups.
