partially ordered set

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partially ordered set

[′pär·shə·lē ¦ōr·dərd ′set]
(mathematics)
A set on which a partial order is defined. Also known as poset.

partially ordered set

References in periodicals archive ?
On a central file system, scientific data, reports and publications are stored in a partially ordered manner.
Emami, "A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations," Nonlinear Analysis: Theory, Methods & Applications, vol.
Pirbavafa, A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations, Fixed Point Theory Appl.
1: Let {S(P)} [intersection]} be the partially ordered neutrosophic set with 0.
2 Proposed System of Highest Hit Rate Key Based Partially Ordered Input Method
The first result in this direction was given by Turinici [29], where he extended the Banach contraction principle in partially ordered sets.
A well-founded tree is a non-empty partially ordered set T = (V S) such that for every two elements t1 t2 their infimum exists and the set {t ' cV : t ' less than t} is a well- ordered chain for every t cV .
Partially ordered finite monoids and a theorem of I.
Lakshmikantham and Ciric [11] proved coupled coincidence and common coupled fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces and extended the results of Gnana Bhaskar and Lakshmikantham [8].
Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal.
Since I became interested in partially ordered algebraic structures, especially, multilattices, I found interesting problems in the monograph [6], see [6, p.

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