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In fact, this fourth act is the high point of a mixed and slightly disappointing affair.
In this paper, partial order theory is used to study the fixed point of a mixed monotone ternary operator A : P × P × P → P. The existence and uniqueness of a fixed point are obtained without assuming the operators to be compact or continuous.
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The influence of mixing on suspension crystallization is described from the starting point of a fully mixed system with mixed product withdrawal.
Therefore, particularly for the case of novel virus detection, our results point to a mixed strategy of targeted syndromic and healthy animal surveillance across host and virus taxonomies.
Why? Experts point to a mixed bag of facts, theories and educated guesses.
These results point to a mixed constellation of inflammatory cells inducing brain damage during sepsis.
Later, Abbas et al. [28] extended the results of a coupled fixed point for a mixed monotone mapping obtained in [27].
On the other hand, Guo and Lakshmikantham [15] obtained the existence of a coupled fixed point to a mixed monotone single-valued operator (T : Dtimes D to E_{1}) for (D subset E_{1}) and (E_{1}) endowed with a partial order.
end{cases} (1.3) They investigated a unique positive solution of problem (1.3) by using a fixed point theorem of a mixed monotone operator.
By using the fixed point theorem of a mixed monotone operator, a unique existence result of positive solution to the problem (1.3) was established.
The method which we used for the analysis in this paper is the fixed point theorem of a mixed monotone operator in cone.
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