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ISSN : 1226-0657

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Vol.27 No.3

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PDF Citation EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED GERAGHTY-TYPE CONTRACTION WITH APPLICATION
Handa, Amrish pp.109-124 https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.3.109
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Abstract

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 : X<sup>2</sup> &#x2192; 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.

PDF Citation ALEXANDROV TOPOLOGIES AND NON-SYMMETRIC PSEUDO-METRICS
Oh, Ju-mok ; Kim, Yong Chan pp.125-135 https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.3.125
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Abstract

In this paper, we investigate the properties of Alexandrov topologies, non-symmetric pseudo-metrics and lower approximation operators on [0, &#x221E;]. Moreover, we investigate the relations among Alexandrov topologies, non-symmetric pseudo-metrics and lower approximation operators. We give their examples.

PDF Citation PROBABILISTIC ANALYSIS OF A SYSTEM CONSISTING OF TWO SUBSYSTEMS IN THE SERIES CONFIGURATION UNDER COPULA REPAIR APPROACH
Raghav, Dhruv ; Pooni, P.K. ; Gahlot, Monika ; Singh, V.V. ; Ayagi, Hamisu Ismail ; Abdullahi, Ameer Hassan pp.137-155 https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.3.137
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Abstract

Redundancy is commonly employed to improve system reliability. In most situations, components in the standby configurations are assumed statistically 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 under 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.

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

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