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Suppose that S has a partially order relation ≤.
(4) By using the partially order and convergent properties (f_{n_{k}}preceq f).
The order " " is not antisymmetric, thus this order is not partially order.
Partially order by declaring to mean that the restriction of to the domain of agrees with.
One can find the existence of coupled fixed points in the setting of partially order metric space in [18 24].
Now, let us recall the definition of the monotonic function f : X → X in the partially order set (X, ≼).
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Carbon sheets were mostly a-C and had partially ordered and less-ordered nanocrystalline graphite.
We say that a Banach space endowed with a partial order is a partially ordered Banach space if it is both a partially ordered vector space and a partially ordered topological space with respect to the norm topology.
Throughout this article, (X, ≼) denotes a partially ordered set with the partial order ≼.
Throughout this paper, ( X, ≤ ) denotes a partially ordered set with the partial order ≤.
A set together with a definite partial ordering is called a partially ordered set.
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