바로가기메뉴

본문 바로가기 주메뉴 바로가기
 
 

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI
초록보기
초록

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.

Oh, Ju-mok ; Kim, Yong Chan pp.125-135 https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.3.125
초록보기
초록

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.

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
초록보기
초록

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.

한국수학교육학회지시리즈B:순수및응용수학