Sentence examples for the setting of the problem from inspiring English sources

Let us present the setting of the problem.

In the setting of the problem (1.1), the constraint nondegeneracy condition holding at a feasible point can be expressed as (2.12).

The setting of the optimization problem is in the most general form, which makes this work a nontrivial extension of [1].

Motivated by Iiduka and Takahashi [1], Takahashi and Zembayashi [5], and Qin et al. [6], we introduce a new general process for finding common elements of the set of the equilibrium problem and the set of the variational inequality problem for an inverse-strongly monotone operator and the set of the fixed points for relatively quasi-nonexpansive mappings.

Next we establish the history setting of the problem (1.1 - 1.3 1.1 - 1.3 to deal winh the nordertonomous character of the memory term in (1.1).

In Section 2, we give the basic setting of the problem and derive some priori estimates needed in the proof in next section.

In this direction, several authors have introduced some iterative schemes for finding a common element of the set of the solutions of equilibrium problems and the set of fixed points (see also [3 7] and the references therein).

Let S denote the solution set of the problem (3.8).

In the sequel, we use Γ to denote the solution set of the problem (1.8).

Let (Omeganeqemptyset) be the solution set of the problem MSSEP (3.2).

We will denote by (Omega_{L,T}^{V}) the solution set of the problem (4.5).