Sentence examples for be a fuzzy ordered from inspiring English sources

A mapping (T Alongrightarrow B) is said to be a fuzzy ordered proximal ψ-contraction of type-II if, for any u, v, x, and y in A, and for some (alphain 0,1)), the following condition holds: left.

A mapping (T Alongrightarrow B) is said to be a fuzzy ordered ψ-contraction if, for any (x,yin A) with (xpreceq y), we have (M(Tx,Ty,t geqpsi [M x,y,t)]) for all (t>0).

Let be a continuous, nondecreasing function and let be a fuzzy order -contractive and nondecreasing mapping w.r.t.

Let Y ∈ C ( X ) and F : Y → C ( Y ) be a fuzzy order K-set-valued mapping.

Thus F is a fuzzy order K-set-valued mapping.

Hence F is a fuzzy order K-set-valued mapping with k = 4 9 < 1 2.

Now we show that x ∈ F x. From x n ∈ F x n − 1, and x n − 1 ⪯ x for all n, since F is a fuzzy order K-set-valued mapping, there exists u n ∈ F x such that x n ⪯ u n, and 1 M ( x n, u n, t ) − 1 ≤ k [ 1 M ( x n − 1, x n, t ) − 1 + 1 M ( x, u n, t ) − 1 ].

A mapping (T Alongrightarrow B) is called a fuzzy ordered η-proximal contraction if, for any u, v, x, and y in A, the following condition holds: left.

A mapping (T Alongrightarrow B) is called a fuzzy ordered proximal ψ-contraction of type-I if, for any u, v, x, and y in A, the following condition holds: left.

Let be a partially ordered set, let be a fuzzy metric space, and let be a function from to.

A mapping is called a fuzzy order -contractive mapping if the following implication holds: (2.1).