• Title/Summary/Keyword: fixed point alternative

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Analysis of Business Performance of Local SMEs Based on Various Alternative Information and Corporate SCORE Index

  • HWANG, Sun Hee;KIM, Hee Jae;KWAK, Dong Chul
    • The Journal of Economics, Marketing and Management
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    • v.10 no.3
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    • pp.21-36
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    • 2022
  • Purpose: The purpose of this study is to compare and analyze the enterprise's score index calculated from atypical data and corrected data. Research design, data, and methodology: In this study, news articles which are non-financial information but qualitative data were collected from 2,432 SMEs that has been extracted "square proportional stratification" out of 18,910 enterprises with fixed data and compared/analyzed each enterprise's score index through text mining analysis methodology. Result: The analysis showed that qualitative data can be quantitatively evaluated by region, industry and period by collecting news from SMEs, and that there are concerns that it could be an element of alternative credit evaluation. Conclusion: News data cannot be collected even if one of the small businesses is self-employed or small businesses has little or no news coverage. Data normalization or standardization should be considered to overcome the difference in scores due to the amount of reference. Furthermore, since keyword sentiment analysis may have different results depending on the researcher's point of view, it is also necessary to consider deep learning sentiment analysis, which is conducted by sentence.

Enhancement Technique of Discharge Measurement Accuracy Using Kalesto Based on Index Velocity Method in Mountain Stream, Jeju Island (지표유속법 기반 제주 산지형 하천 Kalesto 유량 정확도 향상 기법)

  • Kim, Dong-Su;Yang, Sung-Kee;Kim, Soo-Jeong;Lee, Jun-Ho
    • Journal of Environmental Science International
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    • v.24 no.4
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    • pp.371-381
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    • 2015
  • In the mountain streams in Jeju Island, strong turbulence and roughness usually made it nearly impossible to utilize most of intrusive instrumentation for streamflow discharge measurements. Instead, a non-intrusive fixed electro-magnetic wave surface velocimetry (fixed EWSV: Kalesto) became alternatively popular in many representative streams to measure stream discharge seamlessly. Currently, Kalesto has shown noteworthy performance with little loss in flood discharge measurements and also has successfully provided discharge for every minute. However, Kalesto has been operated to regard its measured one-point velocity as the representative mean velocity for the given cross-section. Therefore, it could be highly possible to potentially encompass discharge measurements errors. In this study, we analyzed the difference between such Kalesto discharge measurements and other alternative concurrent discharge measurements such as Acoustic Doppler Current Profiler (ADCP) and mobile EWSV which were able to measure velocity in multi-points in the cross-section. Consequently, Kalesto discharge deviated from ADCP discharge in amount of 48% for relatively low flow, and more than 20% difference for high flow compared with mobile EWSV discharge measurements. These results indicated that the one-point velocity measured by Kalesto should be used as a cross-sectional mean velocity, rather it should be accounted for as an index-velocity in conjunction with directly measured cross-sectional mean velocity by using more reliable instrumentations. After inducing Kalesto Discharge Correction Coefficient (KDCC) that actually means relationship between index velocity and cross-sectional mean velocity, the corrected discharge from Kalesto was significantly improved. Therefore, we found that index velocity method should be applied to obtain better accuracy of discharge measurement in case of Kalesto operation.

Equilibrium of transport mode choice in logit model (로짓 수단선택모형의 균형연구)

  • Im, Yong-Taek
    • Journal of Korean Society of Transportation
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    • v.28 no.5
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    • pp.131-139
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    • 2010
  • The transport mode choice problem is to determine which of the alternative transport modes connecting an origin and destination will be used by a traveler. Most of the research relating to transport mode choice have mainly been focused on modeling, properties, and applications of the model, but rarely were concerned with equilibrium among the modes. This paper proves the equilibrium among the modes by using a logit mode choice model, and then verifies it with the Korean Transport Database (KTDB). In order to obtain such an equilibrium, this paper also presents a solution algorithm based on the fixed point theorem. The algorithm was tested with an example and confirmed the equilibrium solution.

THE APPROXIMATION FOR FUNCTIONAL EQUATION ORIGINATING FROM A CUBIC FUNCTIO

  • Lee, Eun-Hwi;Chang, Ick-Soon;Jung, Yong-Soo
    • Honam Mathematical Journal
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    • v.30 no.2
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    • pp.233-246
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    • 2008
  • In this paper, we obtain the general solution of the following cubic type functional equation and establish the stability of this equation (0.1) $kf({{\sum}\limits^{n-1}_{j=1}}x_j+kx_n)+kf({{\sum}\limits^{n-1}_{j=1}}x_j-kx_n)+2{{\sum}\limits^{n-1}_{j=1}}f(kx_j)+(k^3-1)(n-1)[f(x_1)+f(-x_1)]=2kf({\sum\limits^{n-1}_{j=1}}x_j)=K^3{\sum\limits^{n-1}_{j=1}[f(x_j+x_n)+f(x_j-x_n)]$ for any integers k and n with k ${\geq}$ 2 and n ${\geq}$ 3.

Kripke's Theory of Truth and the Liar Paradox

  • Kim, Doe-Sik
    • Korean Journal of Logic
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    • v.7 no.1
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    • pp.67-83
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    • 2004
  • The purpose of this paper is to defend Kripke's theory of truth from Simmons' objection. First after introducing various sorts of the liar paradox, briefly I explain Tarski's attempt to solve the puzzle. Then, I outline Kripke's solution by using the concept of 'fixed point'. Simmons offers an interesting objection against Kripke's solution. He uses a diagonal argument in his attack to Kripke's idea. I claim that Simmons seem to use 'exclusion negation' in refuting Kripke. I think, however, there is an alternative interpretation, which is 'choice negation'. With using choice negation, I maintain that Kripke's theory of ruth can be defended from Simmons' objection.

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SEVERAL STABILITY PROBLEMS OF A QUADRATIC FUNCTIONAL EQUATION

  • Cho, In-Goo;Koh, Hee-Jeong
    • Communications of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.99-113
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    • 2011
  • In this paper, we investigate the stability using shadowing property in Abelian metric group and the generalized Hyers-Ulam-Rassias stability in Banach spaces of a quadratic functional equation, $f(x_1+x_2+x_3+x_4)+f(-x_1+x_2-x_3+x_4)+f(-x_1+x_2+x_3)+f(-x_2+x_3+x_4)+f(-x_3+x_4+x_1)+f(-x_4+x_1+x_2)=5{\sum\limits_{i=1}^4}f(x_i)$. Also, we study the stability using the alternative fixed point theory of the functional equation in Banach spaces.

STABILITY OF THE MONOMIAL FUNCTIONAL EQUATION IN QUASI NORMED SPACES

  • Mirmostafaee, Alireza Kamel
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.777-785
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    • 2010
  • Let X be a linear space and Y be a complete quasi p-norm space. We will show that for each function f : X $\rightarrow$ Y, which satisfies the inequality ${\parallel}{\Delta}_x^nf(y)\;-\;n!f(x){\parallel}\;{\leq}\;\varphi(x,y)$ for suitable control function $\varphi$, there is a unique monomial function M of degree n which is a good approximation for f in such a way that the continuity of $t\;{\mapsto}\;f(tx)$ and $t\;{\mapsto}\;\varphi(tx,\;ty)$ imply the continuity of $t\;{\mapsto}\;M(tx)$.

ON THE STABILITY OF A GENERALIZED CUBIC FUNCTIONAL EQUATION

  • Koh, Hee-Jeong;Kang, Dong-Seung
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.739-748
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    • 2008
  • In this paper, we obtain the general solution of a generalized cubic functional equation, the Hyers-Ulam-Rassias stability, and the stability by using the alternative fixed point for a generalized cubic functional equation $$4f(\sum_{j=1}^{n-1}\;x_j\;+\;mx_n)\;+\;4f(\sum_{j=1}^{n-1}\;x_j+mx_n\;x_j\;-\;mx_n}\;+\;m^2\sum_{j=1}^{n-1}\;(f(2x_j)\;=\;8f(\sum_{j=1}^{n-1}\;x_j)\;+\;4m^2{\sum_{j=1}^{n-1}}\;\(f(x_j+x_n)\;+\;f(x_j-x_n)\)$$ for a positive integer $m\;{\geq}\;1$.

MODIFIED DECOMPOSITION METHOD FOR SOLVING INITIAL AND BOUNDARY VALUE PROBLEMS USING PADE APPROXIMANTS

  • Noor, Muhammad Aslam;Noor, Khalida Inayat;Mohyud-Din, Syed Tauseef;Shaikh, Noor Ahmed
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1265-1277
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    • 2009
  • In this paper, we apply a new decomposition method for solving initial and boundary value problems, which is due to Noor and Noor [18]. The analytical results are calculated in terms of convergent series with easily computable components. The diagonal Pade approximants are applied to make the work more concise and for the better understanding of the solution behavior. The proposed technique is tested on boundary layer problem; Thomas-Fermi, Blasius and sixth-order singularly perturbed Boussinesq equations. Numerical results reveal the complete reliability of the suggested scheme. This new decomposition method can be viewed as an alternative of Adomian decomposition method and homotopy perturbation methods.

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HYERS-ULAM STABILITY OF DERIVATIONS IN FUZZY BANACH SPACE: REVISITED

  • Lu, Gang;Jin, Yuanfeng;Wu, Gang;Yun, Sungsik
    • The Pure and Applied Mathematics
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    • v.25 no.2
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    • pp.135-147
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    • 2018
  • Lu et al. [27] defined derivations on fuzzy Banach spaces and fuzzy Lie Banach spaces and proved the Hyers-Ulam stability of derivations on fuzzy Banach spaces and fuzzy Lie Banach spaces. It is easy to show that the definitions of derivations on fuzzy Banach spaces and fuzzy Lie Banach spaces are wrong and so the results of [27] are wrong. Moreover, there are a lot of seroius problems in the statements and the proofs of the results in Sections 2 and 3. In this paper, we correct the definitions of biderivations on fuzzy Banach algebras and fuzzy Lie Banach algebras and the statements of the results in [27], and prove the corrected theorems.