• Title/Summary/Keyword: Coincidence

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FIXED POINT THEOREMS FOR WEAK CONTRACTION IN INTUITIONISTIC FUZZY METRIC SPACE

  • Vats, Ramesh Kumar;Grewal, Manju
    • Honam Mathematical Journal
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    • v.38 no.2
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    • pp.337-357
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    • 2016
  • The notion of weak contraction in intuitionistic fuzzy metric space is well known and its study is well entrenched in the literature. This paper introduces the notion of (${\psi},{\alpha},{\beta}$)-weak contraction in intuitionistic fuzzy metric space. In this contrast, we prove certain coincidence point results in partially ordered intuitionistic fuzzy metric spaces for functions which satisfy a certain inequality involving three control functions. In the course of investigation, we found that by imposing some additional conditions on the mappings, coincidence point turns out to be a fixed point. Moreover, we establish a theorem as an application of our results.

A Study on the Effect of Fisheries Damage Factors on Fisheries Price (어업피해발생요인이 어가에 미친 영향에 관한 연구)

  • Kim, Ki-Soo
    • The Journal of Fisheries Business Administration
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    • v.41 no.2
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    • pp.135-151
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    • 2010
  • Conventional studies concerning about economic evaluation of fisheries damages caused by public undertakings have focused on showing the causality between marin environmental variation and fisheries production. But almost all of them have ignored the effect of fisheries damages factors on fisheries price. The study tries to suggest a model how to examine the existence and measurement of the effect of fisheries damage factors on fisheries price using statistical approach, in other words, the estimation of the statistical coincidence between two different population means. The paper tries to give a good application of the model using the case of fisheries damages caused by oil leakage pollution which happened three years ago in the coast of Taean province.

COINCIDENCE THEOREMS VIA CONTRACTIVE MAPPINGS IN ORDERED NON-ARCHIMEDEAN FUZZY METRIC SPACES

  • Prasad, Gopi;Tomar, Anita;Dimri, Ramesh Chandra;Bartwal, Ayush
    • The Pure and Applied Mathematics
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    • v.27 no.4
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    • pp.187-205
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    • 2020
  • In this article, we prove coincidence point theorems for comparable 𝜓-contractive mappings in ordered non-Archimedean fuzzy metric spaces utilizing the recently established concept of 𝓣-comparability and relatively weaker order theoretic variants. With a view to show the usefulness and applicability of this work, we solve the system of ordered Fredholm integral equations as an application. In the process, this presentation generalize and improve some prominent recent results obtained in Mihet [Fuzzy Sets Syst., 159 (6), 739-744, (2008)], Altun and Mihet [ Fixed Point Theory Appl. 2010, 782680, (2010)], Alam and Imdad [Fixed Point Theory, 18(2), 415-432, (2017)] and several others in the settings of partially ordered non-Archimedean fuzzy metric spaces.

Study in Background Reduction for the Neutron Induced Prompt Gamma-ray Spectroscopy

  • Song, Byoung-Chul;Jee, Kwang-Yong;Park, Yong-Joon
    • Proceedings of the Korean Radioactive Waste Society Conference
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    • 2004.06a
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    • pp.433-433
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    • 2004
  • Neutron induced prompt gamma-ray spectroscopy (NIPS) system measures the prompt gamma-ray, emitting by the interaction of a neutron with various materials. This system will be of great benefit to scientists worldwide, since it provides the non-destructive measurement of many elements in either solid or liquid wastes. A NIPS facility has been developed in Nuclear Chemistry Research Division, at Korea Atomic Energy Research Institute (KAERI) with the aim of analyzing the major component elements in both aqueous and solid samples.(omitted)

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EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF A PERIODIC SOLUTION TO DISCRETE-TIME COHEN-GROSSBERG BAM NEURAL NETWORKS WITH DELAYS

  • Zhang, Zhengqiu;Wang, Liping
    • Journal of the Korean Mathematical Society
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    • v.48 no.4
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    • pp.727-747
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    • 2011
  • By employing coincidence degree theory and using Halanay-type inequality technique, a sufficient condition is given to guarantee the existence and global exponential stability of periodic solutions for the two-dimensional discrete-time Cohen-Grossberg BAM neural networks. Compared with the results in existing papers, in our result on the existence of periodic solution, the boundedness conditions on the activation are replaced with global Lipschitz conditions. In our result on the existence and global exponential stability of periodic solution, the assumptions in existing papers that the value of activation functions at zero is zero are removed.

Optimization of Data Acquisition System with Parallel Collection for PET

  • Yoshida, Eiji;Shimizu, Keiji;Murayama, Hideo
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2002.09a
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    • pp.311-313
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    • 2002
  • We are under development of a 3D PET scanner with depth of interaction (DOI) capable of high sensitivity and high resolution. In this scanner, a maximum data transfer rate of coincidence pair's event information is 10 Mcps and one event is a 64-bit data format. This maximum data transfer rate corresponds by 10 times a conventional PET scanner. A data acquisition system, which fulfills the specification of this scanner, is considered for parallel collection with banks including several coincidence units. Data transfer rate is improved by optimizing parameters of a message size, and so on.

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Sound Insulation Performance of the Panel Structures in High Speed Train: Transmission Loss of the Corrugated and Extruded Panels (고속철도 차음구조의 차음성능: 주름 및 압출재의 투과손실)

  • Kim, Seock-Hyun;Paek, In-Su;Kim, Jeong-Tae
    • Proceedings of the KSR Conference
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    • 2007.11a
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    • pp.82-89
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    • 2007
  • Sound transmission characteristics are investigated on the corrugated steel and aluminium extruded panels used for railway vehicles. Sewell-Sharp-Cremer(SSC) model, equivalent orthotropic plate model and equivalent mass law are applied to predict the sound transmission loss. The predicted values of the sound transmission loss are compared with the measured values. The reliability and the limitation of the prediction models are investigated. For the corrugated panels and honeycomb panels, the coincidence and local resonance severely deteriorate the sound insulation performance around the corresponding frequency bands. The result of the study shows that the equivalent orthotropic plate model and the SSC model can be used as good prediction models, if the coincidence frequency or local resonance frequency is correctly applied.

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EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF RAYLEIGH EQUATION WITH A DEVIATING ARGUMENT

  • Zhou, Qiyuan;Xiao, Bing;Yu, Yuehua;Liu, Bingwen;Huang, Lihong
    • Journal of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.673-682
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    • 2007
  • In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Rayleigh equation with a deviating argument of the form $x'+f(x'(t))+g(t,\;x(t-\tau(t)))=p(t)$.

PERIODIC SOLUTIONS FOR DISCRETE ONE-PREDATOR TWO-PREY SYSTEM WITH THE MODIFIED LESLIE-GOWER FUNCTIONAL RESPONSE

  • Shi, Xiangyun;Zhou, Xueyong;Song, Xinyu
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.639-651
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    • 2009
  • In this paper, we study a discrete Leslie-Gower one-predator two-prey model. By using the method of coincidence degree and some techniques, we obtain the existence of at least one positive periodic solution of the system. By linalization of the model at positive periodic solution and construction of Lyapunov function, sufficient conditions are obtained to ensure the global stability of the positive periodic solution. Numerical simulations are carried out to explain the analytical findings.

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