Results 21 to 30 of about 45,393 (304)
Some Common Fixed Point Theorems in Partially Ordered Sets
Journal of Applied Mathematics, 2020 The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.
Khadija Bouzkoura, Said Benkaddour
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Order-Sensitive Domination in Partially Ordered Sets and Graphs [PDF]
, 2022 For a (finite) partially ordered set (poset) P, we call a dominating set D in the comparability graph of P, an order-sensitive dominating set in P if either x is an element of D or else a = 2, we associate to G a graded poset P-k(G) of height k, and ...
Mehmet Akif Yetim +5 more
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Visualizing Partially Ordered Sets for Socioeconomic Analysis
Revista Colombiana de Estadística, 2014 In this paper, we develop a visualization process for partial orders derived from considering many numerical indicators on a statistical population. The issue is relevant, particularly in the field of socio-economic evaluation, where explicitly taking ...
MARCO FATTORE +2 more
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Representations of bornologies
Applied General Topology, 2022 Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric.
Homeira Pajoohesh
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The symmetric monoidal closed category of cpo $M$-sets [PDF]
Categories and General Algebraic Structures with Applications, 2020 In this paper, we show that the category of directed complete posets with bottom elements (cpos) endowed with an action of a monoid $M$ on them forms a monoidal category. It is also proved that this category is symmetric closed.
Halimeh Moghbeli
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Scott-topology based on transitive binary relation [PDF]
Journal of Mahani Mathematical Research, 2022 In the study of partially ordered sets, topologies such as Scott-topology have shown to be of paramount importance. In order to have analogous topology-like tools in the more general setting of quantitative domains, we introduce a method to construct ...
Osama Sayed, Nabil Hassan Sayed
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Word posets, with applications to Coxeter groups [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 We discuss the theory of certain partially ordered sets that capture the structure of commutation classes of words in monoids. As a first application, it follows readily that counting words in commutation classes is #P-complete.
Matthew J. Samuel
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Constant Rate Distributions on Partially Ordered Sets
Journal of Probability and Statistics, 2010 We consider probability distributions with constant rate on partially ordered sets, generalizing distributions in the usual reliability setting ([0,∞),≤) that have constant failure rate.
Kyle Siegrist
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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
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Fixed point results and their applications to Markov processes
Fixed Point Theory and Applications, 2005 New existence and comparison results are proved for fixed points of increasing operators and for common fixed points of operator families in partially ordered sets.
S. Heikkilä
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