Results 11 to 20 of about 6,955,994 (297)

Majorization on a Partially Ordered Set [PDF]

Proceedings of the American Mathematical Society, 1979
We extend the classical concept of set majorization to the case where the set is partially ordered. We give a useful property which characterizes majorization on a partially ordered set. Quite unexpectedly, the proof of this property relies on a theorem of Shapley on convex games.
F. K. Hwang
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Fixed Point Theorems of Set-Valued Mappings in Partially Ordered Hausdorff Topological Spaces [PDF]

Abstract and Applied Analysis, 2014
In this work, several fixed point theorems of set-valued monotone mappings and set-valued Caristi-type mappings are proved in partially ordered Hausdorff topological spaces, which indeed extend and improve many recent results in the setting of metric ...
Shujun Jiang, Zhilong Li, Shihua Luo
doaj   +2 more sources

Set-valued mappings in partially ordered fuzzy metric spaces [PDF]

, 2014
In this paper, we provide coincidence point and fixed point theorems satisfying an implicit relation, which extends and generalizes the result of Gregori and Sapena, for set-valued mappings in complete partially ordered fuzzy metric spaces. Also we prove
Saadati, R, Park, C, Zahra Sadeghi, VETRO, Calogero, Calogero Vetro, Sadeghi, Z, Reza Saadati, Choonkil Park, S Vaezpour, Vaezpour, SM   +9 more
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Extensions of a Partially Ordered Set [PDF]

, 1967
In this thesis we introduce the concept of a dense extension of a partially ordered set and study some of the properties of the resulting class of extensions.
Doctor, Hoshang Pesotan
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An Efficient Algorithm for Decomposition of Partially Ordered Sets

Journal of Mathematics, 2023
Efficient time complexities for partial ordered sets or posets are well-researched field. Hopcroft and Karp introduced an algorithm that solves the minimal chain decomposition in O (n2.5) time. Felsner et al.
Elsayed Badr, Mohamed EL-Hakeem, Enas E. El-Sharawy, Thowiba E. Ahmed   +3 more
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Fixed point results with respect to a wt-distance in partially ordered b-metric spaces and its application to nonlinear fourth-order differential equation

Applied General Topology, 2022
In this paper we study the existence of the fixed points for Hardy-Rogers type mappings with respect to a wt-distance in partially ordered metric spaces.
Reza Babaei, Hamidreza Rahimi, Ghasem Soleimani Rad   +2 more
doaj   +1 more source

On partitions of a partially ordered set

Journal of Combinatorial Theory, Series B, 1977
AbstractUsing linear programming we prove a generalization of Greene and Kleitman's generalization of Dilworth's theorem on the decomposition of a partially ordered set into chains.
Alan J. Hoffman, D. E. Schwartz
openaire   +1 more source

Continuity in Partially Ordered Sets [PDF]

International Journal of Mathematics and Mathematical Sciences, 2008
The notion of a continuous domain is generalized to include posets which are not dcpos and in which the set of elements way below an element is not necessarily directed. We show that several of the pleasing algebraic and topological properties of domains carry over to this setting.
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Cardinality-restricted Chains and Antichains in Partially Ordered Sets

, 1991
Cardinality-restricted Chains and Antichains in Partially Ordered ...
Trotter, L. E., Shum, H., Jr
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Selfduality of the system of convex subsets of a partially ordered set [PDF]

, 1993
summary:For a partially ordered set $P$ let us denote by $Co P$ the system of all convex subsets of $P$. It is found the necessary and sufficient condition (concerning $P$) under which $Co P$ (as a partially ordered set) is ...
Zelina, Miron
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