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B-순수 및 응용수학 update

The Pure and Applied Mathematics

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27권1호(2020) |수록논문 수 : 7
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27권1호(2020년) 수록논문
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KCI등재

1FURTHER RESULTS INVOLVING THE HILBERT SPACE L2a,b[0, T]

저자 : Jae Gil Choi , David Skoug

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 1호 발행 연도 : 2020 페이지 : pp. 1-11 (11 pages)

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In this paper we determine conditions which a function a(t) must sat-isfy to insure that the function a′(t) is an element of the separable Hilbert space L2a,b[0, T]. We then proceed to illustrate our results with several pertinent examples and counter-examples.

KCI등재

2SOLVABILITY OF SOME NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER VIA MEASURE OF NONCOMPACTNESS

저자 : Somayyeh Dadsetadi , Kazem Nouri , Leila Torkzadeh

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 1호 발행 연도 : 2020 페이지 : pp. 13-24 (12 pages)

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In this article, we investigate the solvability of nonlinear fractional integro-differential equations of the Hammerstein type. The results are obtained using the technique of measure of noncompactness and the Darbo theorem in the real Banach space of continuous and bounded functions in the interval [0, a]. At the end, an example is presented to illustrate the effectiveness of the obtained results.

KCI등재

3QUADRATIC (ρ1, ρ2)-FUNCTIONAL EQUATION IN FUZZY BANACH SPACES

저자 : Siriluk Paokanta , Dong Yun Shin

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 1호 발행 연도 : 2020 페이지 : pp. 25-33 (9 pages)

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In this paper, we consider the following quadratic (ρ1, ρ2)-functional equation where ρ1, ρ2 are fixed nonzero real numbers with ρ2 ≠ 1 and 2ρ1 +2ρ2 ≠ 1, in fuzzy normed spaces.
Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic (ρ1, ρ2)-functional equation (0.1) in fuzzy Banach spaces.

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4NUMERICAL METHODS FOR FUZZY SYSTEM OF LINEAR EQUATIONS WITH CRISP COEFFICIENTS

저자 : Younbae Jun

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 1호 발행 연도 : 2020 페이지 : pp. 35-42 (8 pages)

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In this paper, numerical algorithms for solving a fuzzy system of linear equations with crisp coefficients are presented. We illustrate the efficiency and accuracy of the proposed methods by solving some numerical examples. We also provide a graphical representation of the fuzzy solutions in three-dimension as a visual reference of the solution of the fuzzy system.

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5DOMAIN OF INFLUENCE OF LOCAL VOLATILITY FUNCTION ON THE SOLUTIONS OF THE GENERAL BLACK-SCHOLES EQUATION

저자 : Hyundong Kim , Sangkwon Kim , Hyunsoo Han , Hanbyeol Jang , Chaeyoung Lee , Junseok Kim

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 1호 발행 연도 : 2020 페이지 : pp. 43-50 (8 pages)

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We investigate the domain of influence of the local volatility function on the solutions of the general Black-Scholes model. First, we generate the sample paths of underlying asset using the Monte Carlo simulation. Next, we define the inner and outer domains to find the effective volatility region. To confirm the effect of the inner domain, we use the root mean square error for the European call option prices, and then change the values of volatility in the proposed domain. The computational experiments confirm that there is an effective region which dominates the option pricing.

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6ON THE STABILITY OF THE FUNCTIONAL EQUATION g(x + y + xy) = g(x) + f(y) + xf(y) + yg(x)

저자 : Yong-soo Jung

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 1호 발행 연도 : 2020 페이지 : pp. 51-60 (10 pages)

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In this note, we investigate the Hyers-Ulam stability and the hypersta- bility of the Pexider type functional equation
g(x + y + xy) = g(x) + f(y) + xf(y) + yg(x):

KCI등재

7SOME STABILITY RESULTS FOR COINCIDENCE POINT ITERATIVE ALGORITHMS WITH THREE MAPPINGS

저자 : Seung-hyun Kim , Mee-kwang Kang

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 1호 발행 연도 : 2020 페이지 : pp. 61-70 (10 pages)

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In this paper, we introduce a new concept of stability of coincidence iterative algorithm for three mappings and derive a new three-step Jungck-type iterative algorithm. And, we prove a stability result and a strong convergence result for the Jungck-type algorithm using the MJ -contractive condition. Our results extend and unify the corresponding ones in [3, 6, 7, 13].

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