Sentence examples for problem of a common from inspiring English sources

For a matrix polytope (mathcal{A}), it is well known that the problem of a common solution (mathcal{D}) is equivalent to the following system of linear matrix inequalities (LMIs): A_{i}^{T}D+DA_{i}< 0 which in lower dimensions can be solved numerically by the LMIs method (here (A_{i}) are the extreme matrices).

Further, we apply our result to the problem of finding a common element of an equilibrium problem and the problem of finding a zero of a maximal monotone operator.

Moreover, we apply our result to the problem of finding a common element of an equilibrium problem and the problem of finding a zero of a maximal monotone operator.

Recently, a problem of finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping is studied by Takahashi and Zembayashi in [15, 16].

Both parties had a vague notion that Bohemia should return to its autonomous status and become a constituent part of the regenerated Habsburg monarchy, but they could not resolve some specific problems of a common political future.

It is also necessary to buy time for European politicians to make the difficult political decisions to achieve the fiscal and banking union that is the longer-term answer to the structural problems of a common currency without a common treasury.

The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem.

The following theorems are connected with the problem of obtaining a common element of the sets of zeros of a monotone operator and an equilibrium problem.

In [32, 33], Takahashi and Zembayashi studied the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem in the framework of Banach spaces.

Takahashi and Zembayashi [33, 34] studied the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem in the framework of Banach spaces.

Moreover, we apply our result to the problem of finding a common fixed point of a countable family of nonexpansive mappings, and the problem of finding a zero of a monotone operator.