Search results for "partially ordered set"

showing 3 items of 23 documents

Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation

2019

We consider the notion of generalized c-distance in the setting of ordered cone b-metric spaces and obtain some new fixed point results. Our results provide a more general statement, under which can be unified some theorems of the existing literature. In particular, we refer to the results of Sintunavarat et al. [W. Sintunavarat, Y.J. Cho, P. Kumam, Common fixed point theorems for c-distance in ordered cone metric spaces, Comput. Math. Appl. 62 (2011) 1969-1978]. Some examples and an application to nonlinear fourth-order differential equation are given to support the theory.

Partially ordered setDifferential equationApplied MathematicsMathematical analysisgeneralized c-distanceFixed pointordered cone b-metric spaceComputational MathematicsNonlinear systemFourth orderfixed pointSettore MAT/05 - Analisi MatematicaAnalysisMathematicsFixed Point Theory
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The measurement of rank mobility

2009

Abstract In this paper we investigate the problem of measuring social mobility when the social status of individuals is given by their rank. In order to sensibly represent the rank mobility of subgroups within a given society, we address the problem in terms of partial permutation matrices which include standard (“global”) matrices as a special case. We first provide a characterization of a partial ordering on partial matrices which, in the standard case of global matrices, coincides with the well-known “concordance” ordering. We then provide a characterization of an index of rank mobility based on partial matrices and show that, in the standard case of comparing global matrices, it is equi…

Economics and EconometricsIndex (economics)Rank mobilityRank (linear algebra)Partial matricesPartial permutationjel:D63Spearman's indexjel:D31Characterization (mathematics)Social mobilityCombinatoricsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONStatisticsConcordanceMobility measurement Concordance Partial matrices Sperman's index.Rank mobility; Mobility measurement; Concordance; Partial matrices; Spearman's indexOrder (group theory)Special caseMobility measurementPartially ordered setMathematics
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Measuring Social Mobility

1993

Abstract The paper considers the ranking of mobility matrices in a simple Markov model of social mobility. The approach is the dynamic counterpart ot the "static" inequality ranking of income distributions by the Lorenz curve. The derived partial ordering is motivated by welfare considerations, is shown to be equivalent to same intuitive mobility concepts, and is used to screen some immobility indices. The equivalence of the ranking with the "permanent income" Lorenz ordering gives support to the claim that this approach is the natural extension of Kolm′s [The optimal production of social justice, in "Public Economics (J. Margolis and H. Guitton, Eds.), MacMillan, London, 1969], Atkinson′s …

Economics and EconometricsInequalitymedia_common.quotation_subjectMarkov modelSocial mobilityPermanent income hypothesisEconometricsEconomicsLorenz curvePartially ordered setMathematical economicsWelfareEquivalence (measure theory)media_commonJournal of Economic Theory
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