Figures 4.1 and 4.2 represent typical curves that can be applied to most food systems for equilibrium water content (g water/g solid) versus water activity (% ERH).
In 2009, Saeidi [26] introduced a more general iterative algorithm for finding a common element of the set of solution for a system of equilibrium problems and the set of common fixed points for a finite family of nonexpansive mappings and a nonexpansive semigroup.
Very recently, Saeidi [8] introduced a more general iterative algorithm for finding a common element of the set of solutions for a system of equilibrium problems and of the set of common fixed points for a finite family of nonexpansive mappings and a nonexpansive semigroup.
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.
The system of equilibrium problems for is to determine common equilibrium points for J = { F i } i ∈ I. i.e, the set EP ( J ) = { x ∈ C : F i ( x, y ) ≥ 0, ∀ y ∈ C, ∀ i ∈ I }.
The system of equilibrium problem for Ψ is to determine common equilibrium points for Ψ = { Φ i } i = 1, 2, …, N, that is, the set EP = { u ∈ C : Φ i ( u, v ) ≥ 0, ∀ v ∈ C, ∀ i ∈ 1, 2, …, N }.
We utilize the theorems to study a modified Halpern iterative algorithm for a system of equilibrium problems.
We utilize Corollary 3.2 to study a modified Halpern iterative algorithm for a system of equilibrium problems.
In this section we utilize Corollary 2.1 to study a modified Halpern iterative algorithm for a system of equilibrium problems.
(1) In Theorem 4.1, we present a strong convergence result for a system of equilibrium problems with new algorithms and new control conditions.
