Sentence examples for finding a common solution from inspiring English sources

The strong convergence theorem is proved for finding a common solution for a system of equilibrium problems: find where is a closed convex subset of a Hilbert space and are bifunctions from into R given exactly or approximatively.

As an application, finding a common solution for a system of variational inequality problems is given.

In the literature, various iterative methods have been proposed for finding a common solution of the classical variational inequality problem and a fixed point problem.

In 2008, Takahashi and Zembayashi [10, 11] introduced iterative sequences for finding a common solution of an equilibrium problem and a fixed point problem.

Then, using the shrinking projection method, we prove a strong convergence theorem for finding a common solution of the considered problems.

Further, Ceng et al. [12] proposed explicit and implicit iterative schemes for finding a common solution for the set of fixed points of a nonexpansive mapping.

We give new hybrid variants of extragradient methods for finding a common solution of an equilibrium problem and a family of nonexpansive mappings.

Composite iterative algorithms were proposed by many authors for finding a common solution of an equilibrium problem and a fixed point problem (see [4 18]).

Recently, Tian and Liu were first to propose composite iterative algorithms for finding a common solution of an equilibrium and a constrained convex minimization problem.

In 2012, Tian and Liu proposed an iterative method for finding a common solution of an EP and a constrained convex minimization problem.

In this paper, we introduce two iterative schemes for finding a common solution of a generalized vector equilibrium problem and relatively nonexpansive mappings in a real Banach space.