Equational Systems on Posets and Their Applications

被引：0
作者：
Gholamreza Roointan
Hamidreza Goudarzi
机构：
[1] Yasouj University,Department of Mathematics
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2020年 / 44卷
关键词：
Equational systems; Data-flow analysis; Partially ordered sets; Preserving maps; Monotone property; Iterative algorithm; Banach lattice; Cournot oligopoly;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we introduce the notion of nonlinear equational systems. We consider some important results of equational systems on posets (partially ordered sets) and Banach lattices. Also we see their applications in data-flow analysis—a general theory to solve some special types of simultaneous nonlinear equations on complete lattices—and extend the Cournot oligopoly on Banach lattices. At the end, there are some new theoretical suggestions for decision makers, especially computer program designers, to shorten and optimize their calculations.
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页码：185 / 194
页数：9
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  • [1] Chakrabarti SK(2010)Equilibrium in Cournot oligopolies with unknown costs Int Econ Rev 51 1209-1238
  • [2] Hennessy M(1979)Full abstraction for a simple parallel programming language Math Found Comput Sci 74 108-120
  • [3] Plotkin G(1985)Cournot oligopoly with information sharing Rand J Econ 16 521-536
  • [4] Li L(1955)A lattice-theoretical fixed point theorem and its application Pac J Math 5 285-309
  • [5] Tarski A(undefined)undefined undefined undefined undefined-undefined
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