Academic literature on the topic 'Knaster-Tarski theorem'

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Journal articles on the topic "Knaster-Tarski theorem"

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Espínola, Rafael, and Andrzej Wiśnicki. "The Knaster–Tarski theorem versus monotone nonexpansive mappings." Bulletin of the Polish Academy of Sciences Mathematics 66, no. 1 (2018): 1–7. http://dx.doi.org/10.4064/ba8120-1-2018.

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Jeddi, Jaauad, Mustapha Kabil, and Samih Lazaiz. "Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph." International Journal of Mathematics and Mathematical Sciences 2020 (August 3, 2020): 1–5. http://dx.doi.org/10.1155/2020/9794134.

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The purpose of this work is to extend the Knaster–Tarski fixed-point theorem to the wider field of reflexive digraph. We give also a DeMarr-type common fixed-point theorem in this context. We then explore some interesting applications of the obtained results in modular function spaces.
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Candan, T. "Existence of nonoscillatory solutions of higher order neutral differential equations." Filomat 30, no. 8 (2016): 2147–53. http://dx.doi.org/10.2298/fil1608147c.

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This article is concerned with nonoscillatory solutions of higher order nonlinear neutral differential equations with deviating and distributed deviating arguments. By using Knaster-Tarski fixed point theorem, new sufficient conditions are established. Illustrative example is given to show applicability of results.
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Khamsi, Mohamed Amine. "Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings." Moroccan Journal of Pure and Applied Analysis 4, no. 1 (June 1, 2018): 1–8. http://dx.doi.org/10.1515/mjpaa-2018-0001.

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AbstractThe purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the classical Knaster-Tarski fixed point theorem. We will show that their approach is very restrictive and fail to have any meaningful usefulness in applications.
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Arul, R., K. Alagesan, and G. Ayyappan. "Existence of Nonoscillatory Solutions of First Order Nonlinear Neutral Dierence Equations." JOURNAL OF ADVANCES IN MATHEMATICS 11, no. 5 (October 12, 2015): 5230–37. http://dx.doi.org/10.24297/jam.v11i5.1250.

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In this paper, we discuss the existence of nonoscillatory solutions of first order nonlinear neutral difference equations of the form We use the Knaster-Tarski xed point theorem to obtain some sucient conditions for the existence of nonoscillatory solutions of above equations. Example are given to illustrate the main results.
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Artemi, Cristian. "The knaster-tarski fixed-point theorem is not uniformly constructive." International Journal of Computer Mathematics 23, no. 1 (January 1987): 25–28. http://dx.doi.org/10.1080/00207168708803605.

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Karapınar, Erdal, Panda Kumari, and Durdana Lateef. "A New Approach to the Solution of the Fredholm Integral Equation via a Fixed Point on Extended b-Metric Spaces." Symmetry 10, no. 10 (October 16, 2018): 512. http://dx.doi.org/10.3390/sym10100512.

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It is very well known that real-life applications of fixed point theory are restricted with the transformation of the problem in the form of f ( x ) = x . (1) The Knaster–Tarski fixed point theorem underlies various approaches of checking the correctness of programs. (2) The Brouwer fixed point theorem is used to prove the existence of Nash equilibria in games. (3) Dlala et al. proposed a solution for magnetic field problems via the fixed point approach.
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Leyew, Bahru Tsegaye, and Mujahid Abbas. "A soft version of the Knaster–Tarski fixed point theorem with applications." Journal of Fixed Point Theory and Applications 19, no. 4 (February 22, 2017): 2225–39. http://dx.doi.org/10.1007/s11784-017-0414-4.

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Jachymski, Jacek R. "Fixed point theorems in metric and uniform spaces via the Knaster-Tarski Principle." Nonlinear Analysis: Theory, Methods & Applications 32, no. 2 (April 1998): 225–33. http://dx.doi.org/10.1016/s0362-546x(97)00474-4.

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Huang, Mengqiao, and Yuxi Fu. "A note on the Knaster–Tarski Fixpoint Theorem." Algebra universalis 81, no. 4 (August 9, 2020). http://dx.doi.org/10.1007/s00012-020-00676-4.

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Dissertations / Theses on the topic "Knaster-Tarski theorem"

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Mokbel, Rita. "Systemic risk in financial economic institutions." Thesis, Besançon, 2016. http://www.theses.fr/2016BESA2080.

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Les crises financières et les problèmes se formaient mais les indicateurs ne sont pas précis pour permettre une intervention réglementaire. La thèse propose un modèle dynamique pour le système bancaire avec une banque centrale afin de calculer un indicateur de faillite en fonction de la probabilité qu'une banque soit en faillite et les pertes rencontrées dans le réseau financier, une méthodologie qui peut améliorer la mesure, le suivi et la gestion du risque systémique.La thèse propose également des mécanismes de compensation : 1- avec un modèle considérant l'ancienneté du passif et avec un type d'actif liquide dont la vente excessive conduit à un impact sur le marché, 2 - avec un modèle considérant les participations croisées entres les banques dont les engagements interbancaires sont de différentes séniorités et avec un type d'actif liquide dont la vente excessive conduit à un impact sur le marché
Financial crisis pose important theoretical problems on creating reliable indicator of stability of financial systems on which basis the regulators could intervene. The thesis proposes a dynamic model of banking system were the central bank can calculate an indicator of potential defaults taking into consideration the probability for a bank to default and the losses encountered in the financial network, a methodology that can improve the measurement, monitoring, and the management of the systemic risk. The thesis also suggests a clearing mechanisms : 1- in a model with seniority of liabilities and one type of liquid asset whose fire sale has a market impact, 2 - in a model with crossholdings among the banks whose interbank liabilities may be senior and junior and with one liquid asset whose firing sale has a market impact
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Book chapters on the topic "Knaster-Tarski theorem"

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Hinkis, Arie. "Early Fixed-Point CBT Proofs: Whittaker; Tarski-Knaster." In Proofs of the Cantor-Bernstein Theorem, 317–22. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0224-6_31.

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