The double membrane of the chloroplast envelope has reduced definition in a small region adjacent to the converging thylakoid tips (loss of intermembrane space in A, C, and D ).
Note that if g is the identity mapping, this definition reduces to Definition 2. Definition 5 Let ( X, ≤ ) be partially ordered set and F : X n → X and g : X → X. F and g called commutative if g ( F ( x 1, x 2, x 3, …, x n ) ) = F ( g ( x 1 ), g ( x 2 ), g ( x 3 ), …, g ( x n ) ) (2.5).
Note that if g is the identity mapping, this definition reduces to Definition 1. Definition 4 Let X be a nonempty set and F : X n → X a given mapping.
If (eta x, y,t) = 1) and (N x, y, t) = M x, y, t)), then this definition reduces to Definition 3.2 in [11], thus it will imply the definition of the fuzzy contractive mapping given by Gregori and Sapena [6].
Note that if g is the identity mapping, then Definition 5 reduces to Definition 4. Definition 6. [8].
Note that if g is the identity mapping, then Definition 5 reduces to Definition 4. Definition 6 (Abbas, Khan and Radenović [1]).
Note that if g is the identity mapping, then this definition reduces to Definition 2.8.
If we take η ( x, y ) = 1 for all x, y ∈ X, then this definition reduces to Definition 4.1.
If η ( x, y ) = 1 for all x, y ∈ X, then this definition reduces to Definition 5.
If g = I and f is single-valued, Definition 3.2 reduces to Definition 3.1 in [11]; If g = I, f is single-valued and γ = 0, Definition 3.2 reduces to Definition 3.1 in [8]; If g = I, f is single-valued and α = γ = 0, Definition 3.2 reduces to Definition 5.1 in [9] or Definition 3 in [15].
