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ISSN : 1226-0657

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Vol.28 No.1

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PDF Citation Some New Applications of S-metric Spaces by Weakly Compatible Pairs with a Limit Property
Afra, J. Mojaradi ; Sabbaghan, M. pp.1-13 https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.1
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Abstract

In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.

PDF Citation A new generalized cubic functional equation and its stability problems
Koh, Heejeong pp.15-26 https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.15
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Abstract

The purpose of this paper is to introduce a new type of a cubic functional equation and then investigate its stability problems in a convex modular space with a generalized ∆a-condition.

PDF Citation Evaluations of the cubic continued fraction by some theta function identities: Revisited
Paek, Dae Hyun pp.27-42 https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.27
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Abstract

In this paper, we exploit some known theta function identities involving two parameters ��k,n and ��′k,n for the theta function �� to find about 54 new values of the Ramanujan's cubic continued fraction.

PDF Citation Cheng-Yau operator and Gauss map of Translation Surfaces
Kim, Dong Seo ; Kim, Dong-Soo pp.43-53 https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.43
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Abstract

We study translation surfaces in the Euclidean 3-space ��3 and the Gauss map N with respect to the so-called Cheng-Yau operator ☐. As a result, we prove that the only translation surfaces with Gauss map N satisfying ☐N = AN for some 3 × 3 matrix A are the flat ones. We also show that the only translation surfaces with Gauss map N satisfying ☐N = AN for some nonzero 3 × 3 matrix A are the cylindrical surfaces.

PDF Citation Non-existance Real Hypersurfaces in a Nonflat Complex Space Form with Codazzi Type of Structure Tensor Field
Lim, Dong Ho ; Kim, Hwa Soo pp.55-60 https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.55
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Abstract

Let M be a real hypersurface in a complex space form Mn(c), c ≠ 0. In this paper we prove that if the structure tensor field is Codazzi type, then M is a Hopf hypersurface. We characterize such Hopf hypersurfaces of Mn(c).

PDF Citation Two Kinds of Convergences in Hyperbolic Spaces in Three-step Iterative Schemes
Kim, Seung Hyun ; Kang, Mee Kwang pp.61-69 https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.61
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Abstract

In this paper, we introduce a new three-step iterative scheme for three finite families of nonexpansive mappings in hyperbolic spaces. And, we establish a strong convergence and a ∆-convergence of a given iterative scheme to a common fixed point for three finite families of nonexpansive mappings in hyperbolic spaces. Our results generalize and unify the several main results of [1, 4, 5, 9].

PDF Citation Constant ratio curves in the isotropic plane and their deflection properties
Seo, Jin Ju ; Yang, Seong-Deog pp.71-89 https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.71
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Abstract

We define the constant ratio curves in the isotropic plane and investigate their deflection properties.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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