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Then there exists a point x ∈ X such that x α ⊂ F x provided that X satisfies the order sequential limit property.
Then C α ( F, g ) ≠ ϕ provided that X satisfies the order sequential limit property and ( F ( X ) ) α ⊆ g ( X ) for each α.
An ordered metric space is said to satisfy the order sequential limit property if ( u n, z ) ∈ ∇ for all n, whenever a sequence u n → z and ( u n, u n + 1 ) ∈ ∇ for all n.
If an ordered fuzzy mapping F : X → W α ( X ) satisfies σ ( r ) p α ( x, F x ) ≤ d ( x, y ) implies D α ( F x, F y ) ≤ r M α ( F ). for all ( x, y ) ∈ ∇, where M α ( F ) = max { d ( x, y ), p α ( x, F x ), p α ( y, F y ) }. Then there exists a point x ∈ X such that x α ⊂ F x provided that X satisfies the order sequential limit property.
When the conditions are in order, sequential pairwise comparison is appropriate to be occupied for comparing with previous condition.
Targeted capture and multiplexed sequencing offers the capacity to sequence multiple relevant genes at once, in a single test, rather than having to order sequential genetic tests at a cost of thousands of dollars per gene.
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In this case, global data fitting yielded a better agreement with an ordered sequential mechanism compared with a random ordered mechanism (Table 1).
Recently, the existence of solutions for higher-order sequential fractional differential inclusions with nonlocal three-point boundary conditions was discussed in [36].
In a recent article [19], the existence of solutions for higher-order sequential fractional differential inclusions with nonlocal three-point boundary conditions was discussed.
In this paper, a method for deriving analytical solutions of the partial differential equations describing multiple species multi-dimensional transport with first-order sequential reactions is presented.
The hydrolysis reactions for the three kinds of materials followed a first-order sequential kinetic model, and the hydrolysis activation energies were 65.58 kJ/mol for xylan, 68.76 kJ/mol for rice straw, and 95.19 kJ/mol for palm shell.
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