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한국수학교육학회> B-순수 및 응용수학

B-순수 및 응용수학 update

The Pure and Applied Mathematics

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수록범위 : 1권1호(1994)~28권3호(2021) |수록논문 수 : 716
B-순수 및 응용수학
28권3호(2021년 08월) 수록논문
최근 권호 논문
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1APPLICATIONS OF NANO TOPOLOGY VIA NANO OPERATIONS

저자 : Hariwan Z. Ibrahim

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 3호 발행 연도 : 2021 페이지 : pp. 199-215 (17 pages)

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The purpose of this paper is to define and study some new classes of sets by using nano operation namely, ζ-nano regular open, ζ-nano open, ζ-nano ζ-open, ζ-nano pre-open, ζ-nano semi-open, ζ-nano b-open and ζ-nano β-open in nano topology. Some properties and the relationships between these sets and the related concepts are investigated. Also, we found the deciding factors for the most common disease fever.

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2CONSTRUCTION OF AN HV-BE-ALGEBRA FROM A BE-ALGEBRA BASED ON “BEGINS LEMMA”

저자 : R. Naghibi , S. M. Anvariyeh , S. Mirvakili

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 3호 발행 연도 : 2021 페이지 : pp. 217-234 (18 pages)

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In this paper, first we introduce the new class of HV-BE-algebra as a generalization of a (hyper) BE-algebra and prove some basic results and present several examples. Then, we construct the HV-BE-algebra associated to a BE-algebra (namely BL-BE-algebra) based on “Begins lemma" and investigate it.

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3APPLICATIONS OF THE JACK'S LEMMA FOR ANALYTIC FUNCTIONS CONCERNED WITH ROGOSINSKI'S LEMMA

저자 : Bülent Nafi Örnek

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 3호 발행 연도 : 2021 페이지 : pp. 235-246 (12 pages)

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In this study, a Schwarz lemma at the boundary for analytic functions at the unit disc, which generalizes classical Schwarz lemma for bounded analytic functions, is considered. The results of Rogosinskis lemma and Jacks lemma have been utilized to derive novel inequalities. Also, these inequalities have been strengthened by considering the critical points which are different from zero.

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4REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM WITH SPECIAL STRUCTURE TENSOR FIELD

저자 : Dong Ho Lim , Hoonjoo Kim

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 3호 발행 연도 : 2021 페이지 : pp. 247-252 (6 pages)

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Let M be a real hypersurface in a complex space form Mn(c), c ≠ 0. In this paper, we prove that if (∇Xϕ)Y + (∇Yϕ)X = 0 holds on M, then M is a Hopf hypersurface, where ϕ is the tangential projection of the complex structure of Mn(c). We characterize such Hopf hypersurfaces of Mn(c).

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5FIXED POINTS OF SET-VALUED MAPPINGS IN RELATIONAL METRIC SPACES

저자 : Gopi Prasad , Ramesh Chandra Dimri , Shivani Kukreti

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 28권 3호 발행 연도 : 2021 페이지 : pp. 253-266 (14 pages)

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In this paper, we generalize the notion of comparable set-valued mappings by introducing two types of R-closed set-valued mappings and utilize these to obtain an analogue of celebrated Mizoguchi and Takahashi fixed point theorem in relational metric spaces. To annotate the claims and usefulness of such findings, we prove fixed point results for both set-valued and single-valued mappings and validate the assertions with the help of examples. In this way, these investigations extend, modify and generalize some prominent recent fixed point results obtained by Tiammee and Suantai [24], Amini-Harandi and Emami [4], Prasad and Dimri [19] and several others in the settings of relational metric spaces.

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