Results 21 to 30 of about 443 (167)
Equivalent Solutions of Nonlinear Equations in a Topological Vector Space with a Wedge
Journal of Inequalities and Applications, 2007 We obtain efficient conditions under which some or all solutions of a nonlinear equation in a topological vector space preordered by a closed wedge are comparable with respect to the corresponding preordering.
Rontó A, Šremr J
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Interference-Sensitive Preorders for MANETs [PDF]
2012 Ninth International Conference on Quantitative Evaluation of Systems, 2012 Connectivity and communication interference are two key aspects in mobile ad-hoc networks (MANETs). We propose a process algebraic model targeted at the analysis of both such aspects of MANETs. The framework includes a probabilistic process calculus and a suite of analytical techniques based on a probabilistic observational congruence and an ...
BUGLIESI, Michele +4 more
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Remarks on contractive type mappings
Fixed Point Theory and Applications, 2017 We present an analog of Banach’s fixed point theorem for C J M $CJM$ contractions in preordered metric spaces. These results substantially extend theorems of Ran and Reurings’ (Proc. Am. Math. Soc.
Jarosław Górnicki
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Toward a theory of monomial preorders [PDF]
Mathematics of Computation, 2017 In this paper we develop a theory of monomial preorders, which differ from the classical notion of monomial orders in that they allow ties between monomials. Since for monomial preorders, the leading ideal is less degenerate than for monomial orders, our results can be used to study problems where monomial orders fail to give a solution.
Gregor Kemper +2 more
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Order compatibility for Cauchy spaces and convergence spaces
International Journal of Mathematics and Mathematical Sciences, 1987 A Cauchy structure and a preorder on the same set are said to be compatible if both arise from the same quasi-uniform convergence structure on X. Howover, there are two natural ways to derive the former structures from the latter, leading to strong and
D. C. Kent, Reino Vainio
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Representations of ordered semigroups and the Physical concept of Entropy
Applied General Topology, 2004 The abstract concept of entropy is interpreted through the concept of numerical representation of a totally preordered set so that the concept of composition of systems or additivity of entropy can be analyzed through the study of additive ...
Juan C. Candeal +3 more
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Annals of Pure and Applied Logic, 2013 60 pages, updated ...
Kosta Dosen, Zoran Petric
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Normally preordered spaces and continuous multi-utilities
Applied General Topology, 2016 We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous multi-utility representation, hence
Gianni Bosi +2 more
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Compactification of closed preordered spaces
Applied General Topology, 2012 A topological preordered space admits a Hausdorff T2-preorder compactification if and only if it is Tychonoff and the preorder is represented by the family of continuous isotone functions.
E. Minguzzi
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Lifting Theorems for Continuous Order-Preserving Functions and Continuous Multi-Utility
Axioms, 2023 We present some lifting theorems for continuous order-preserving functions on locally and σ-compact Hausdorff preordered topological spaces. In particular, we show that a preorder on a locally and σ-compact Hausdorff topological space has a continuous ...
Gianni Bosi, Magalì Zuanon
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