Sentence examples for problem for a bifunction from inspiring English sources
Recall that the equilibrium problem for a bifunction is to find such that (1.1).
An equilibrium problem for a bifunction is the problem of finding an element such that (2.1).
The equilibrium problem for a bifunction is to find such that for all.
For solving the equilibrium problem for a bifunction, let us assume that satisfies the following conditions: (A1) for all.
We know that the equilibrium problem for a bifunction G is to find x ∈ C such that (1.1).
For solving the equilibrium problem for a bifunction Θ : C × C → R, let us consider the following conditions: (A1) T ( x, x ) = 0 for all x ?
For solving the equilibrium problems for a bifunction, let us assume that satisfies the following conditions: (A1) ; (A2) is monotone, that is, ; (A3)for each, ; (A4 for each, is convex and lower semicontinuous.
The equilibrium problem is for a bifunction defined on to find such that (1.1).
The classical equilibrium problem (EP) for a bifunction f is to find u ∗ ∈ C such that f ( u ∗, y ) ≥ 0, ∀ y ∈ C. (1.6).
We introduce a viscosity approximation method for finding a common element of the set of solutions for an equilibrium problem involving a bifunction defined on a closed, convex subset and the set of fixed points for a nonexpansive semigroup on another one in Hilbert's spaces.
In this section, we prove the existence theorem of a solution for a generalized equilibrium problem with a bifunction defined on the dual space of a Banach space.
