Sentence examples for moving equilibrium problems from inspiring English sources

Exact(3)

Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of obstacle, unilateral, free, moving, equilibrium problems.

Variational inequality theory has emerged as an important tool in studying a wide class of obstacle, unilateral, free, moving, equilibrium problems arising in several branches of pure and applied sciences in a unified and general framework.

The solution set of VIP (1.3) is denoted by VI ( C, A ). Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of obstacle, unilateral, free, moving, equilibrium problems.

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(1.1) It can be shown that a wide class of set-valued odd order and non-symmetric free, obstacle, moving, equilibrium, and optimization problems arising in the pure and applied sciences can be studied via the set-valued quasi-variational inequality problems.

The solution set of VIP (1.1) is denoted by VI ( C, A ). Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of obstacle, unilateral, free, moving and equilibrium problems.

∥ Q C x − Q C y ∥ 2 ≤ 〈 x − y, J ( Q C x − Q C y ) 〉, ∀ x, y ∈ C. 〈 x − Q C x, J ( y − Q C x ) 〉 ≤ 0, ∀ x ∈ C, y ∈ C ˜. Variational inequality theory has emerged as a great important tool in studying a wide class of unilateral, free, obstacle, moving and equilibrium problems arising in several branches of pure and applied sciences in a unified and general framework.

It has been shown that a wide class of unrelated odd order and nonsymmetric free, moving, obstacle and equilibrium problems can be studied via the multivalued equilibrium problems.

It turned out that a number of unrelated obstacle, free, moving, unilateral and equilibrium problems arising in various branches of pure and applied sciences can be studied via variational inequalities; see [1 42] and the references therein.

On the other hand, it also enables us to develop highly efficient and powerful new numerical methods for solving, for example, obstacle, unilateral, free, moving, and complex equilibrium problems.

On the one hand, it reveals the fundamental facts on the qualitative aspects of the solution to important classes of problems; on the other hand, it also enables us to develop highly efficient and powerful new numerical methods to solve, for example, obstacle, unilateral, free, moving and complex equilibrium problems.

On the one hand, it reveals the fundamental facts on the qualitative aspects of the solution to important classes of problems; on the other hand, it also enables us to develop highly efficient and powerful new numerical methods to solve, for example, obstacle, unilateral, free, moving and the complex equilibrium problems.

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