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한국수학교육학회> B-순수 및 응용수학

B-순수 및 응용수학 update

The Pure and Applied Mathematics

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27권3호(2020) |수록논문 수 : 3
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27권3호(2020년) 수록논문
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1EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED GERAGHTY-TYPE CONTRACTION WITH APPLICATION

저자 : Amrish Handa

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 3호 발행 연도 : 2020 페이지 : pp. 109-124 (16 pages)

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We establish coincidence point theorem for S-non-decreasing mappings under Geraghty-type contraction on partially ordered metric spaces. With the help of obtain result, we derive two dimensional results for generalized compatible pair of mappings F, G : X2 → X. As an application, we obtain the solution of integral equation and also give an example to show the usefulness of our results. Our results improve, sharpen, enrich and generalize various known results.

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2ALEXANDROV TOPOLOGIES AND NON-SYMMETRIC PSEUDO-METRICS

저자 : Ju-mok Oh , Yong Chan Kim

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 3호 발행 연도 : 2020 페이지 : pp. 125-135 (11 pages)

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In this paper, we investigate the properties of Alexandrov topologies, non-symmetric pseudo-metrics and lower approximation operators on [0, ∞]. More-over, we investigate the relations among Alexandrov topologies, non-symmetric pseudo-metrics and lower approximation operators. We give their examples.

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3PROBABILISTIC ANALYSIS OF A SYSTEM CONSISTING OF TWO SUBSYSTEMS IN THE SERIES CONFIGURATION UNDER COPULA REPAIR APPROACH

저자 : Dhruv Raghav , P. K. Poonia , Monika Gahlot , V. V. Singh , Hamisu Ismail Ayagi , Ameer Hassan Abdullahi

발행기관 : 한국수학교육학회 간행물 : B-순수 및 응용수학 27권 3호 발행 연도 : 2020 페이지 : pp. 137-155 (19 pages)

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Redundancy is commonly employed to improve system reliability. In most situations, components in the standby configurations are assumed statisti- cally similar but independent. In many realistic models, all parts in standby are not treated as identical as they have different failure possibilities. The operational structure of the system has subsystem-1 with five identical components working un- der 2-out-of-5: G; policy, and the subsystem-2 has two units and functioning under 1-out-of-2: G; policy. Failure rates of units of subsystems are constant and assumed to follow an exponential distribution. Computed results give a new aspect to the scientific community to adopt multi-dimension repair in the form of the copula.

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