• Title/Summary/Keyword: continuity

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SOME STRONG FORMS OF (g,g')-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES

  • Min, Won-Keun;Kim, Young-Key
    • Honam Mathematical Journal
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    • v.33 no.1
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    • pp.85-91
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    • 2011
  • We introduce and investigate the notions of super (g,g')-continuous functions and strongly $\theta$(g,g')-continuous functions on generalized topological spaces, which are strong forms of (g,g')-continuous functions. We also investigate relationships among such the functions, (g,g')-continuity and (${\delta},{\delta}'$)-continuity.

WEAKLY WELL-DECOMPOSABLE OPERATORS AND AUTOMATIC CONTINUITY

  • Cho, Tae-Geun;Han, Hyuk
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.347-365
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    • 1996
  • Let X and Y be Banach spaces and consider a linear operator $\theta : X \to Y$. The basic automatic continuity problem is to derive the continuity of $\theta$ from some prescribed algebraic conditions. For example, if $\theta : X \to Y$ is a linear operator intertwining with $T \in L(X)$ and $S \in L(Y)$, one may look for algebraic conditions on T and S which force $\theta$ to be continuous.

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Fuzzy semi-regular spaces and fuzzy $\delta$-continuous functions

  • Kim, Yong-Chan;Ko, Jung-Mi
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.1 no.1
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    • pp.69-74
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    • 2001
  • We introduce fuzzy semi-regular spaces. Furthermore, we investigate the relations among fuzzy super continuity, fuzzy $\delta$-continuity and fuzzy almost continuity in fuzzy topological spaces in view of the definition of Sostak. We study some properties between them.

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ON THE QUASI-(θ, s)-CONTINUITY

  • Kim, Seungwook
    • Korean Journal of Mathematics
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    • v.20 no.4
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    • pp.441-449
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    • 2012
  • The quasi-(${\theta}$, s)-continuity is a weakened form of the weak (${\theta}$, s)-continuity and equivalent to the weak quasi-continuity. The basic properties of those functions are investigated in concern with the other weakened continuous functions. It turns out that the open property of a function and the extremall disconnectedness of the spaces are crucial tools for the survey of these functions.

ON SLIGHTLY $\alpha$-CONTINUOUS FUNCTIONS

  • Chae, G.I.;Noiri, T.;Kim, J.S.
    • East Asian mathematical journal
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    • v.19 no.2
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    • pp.241-249
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    • 2003
  • In [11] the feeble continuity is introduced and then the weak and strong forms of feeble(or, equivalently $\alpha$-continuity) continuity are studied. In this note, we introduce a type of function called a slightly $\alpha$-continuous function and study several properties of it

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INTUITIONISTIC FUZZY FUNCTIONS

  • Hanafy, I.M.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.2
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    • pp.200-205
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    • 2003
  • In this paper, we generally introduce some of the terminology of Yalvac [10] and Azad [4] in intuitionistic fuzzy topological spaces. In addition to the fundamental concepts of intuitionistic fuzzy sets, we emphasize the usefulness of the concepts of intuitionistic fuzzy points intuitionistic fuzzy elementhood. Mainly, this paper is devoted to the study of intuitionistic fuzzy topological spaces with specific attention to the weaker forms of fuzzy continuity.

A Study on the Relationship of Benefits, Quality, and Continuity Intention in Community Services (지역사회 서비스에서 관계혜택과 관계품질, 관계지속의도와의 관계연구)

  • Lee, Hyun-Ju;Huh, Moo-Yul
    • The Journal of Industrial Distribution & Business
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    • v.8 no.4
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    • pp.53-63
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    • 2017
  • Purpose - This study aims to examine the correlations between relationship benefits, quality, and continuity intention of community services. It further investigates the mediation effect of relationship quality operating on the association between relationship benefits and relationship continuity intention. Thus, this study will aim to elucidate the correlations between relationship benefits, quality and community services intention. Research design, data, and methodology - To achieve these objectives, this study executed a questionnaire from the users of the child․adolescent psychological support service which represents part of community services. The research framework that was utilized in this study was of three main factors. They were relationship quality, relationship benefits, and intention of relationship continuity. In relationship quality, factors such as trust and commitment was included in this section. For relationship benefits, factors such as society benefits and commitment benefits were the essence. The control variable in this study was gender, age, income, hours of service used, and the number of times service was used in community services. Results - The key research findings are as follows. First, this study found out that the more the social benefits was enhanced in the community services, the higher the relationship continuity intention was. Second, this study has found out that the higher the trust of community services, the higher the relationship continuity intention. Third, this study has shown that the more the relationship benefits was enhanced in the community services, the higher the recognition by the users' relationship quality was. Fourth, the trust in the community services played a mediating role between the relationship benefits and relationship continuity intention. Conclusions - Many associations could be discovered on the correlations between relationship benefits, quality, and community service continuality intention. These results will have important implications for the future of child and adolescent psychological support services. In terms of relationship marketing, the three factors; benefits, quality, and continuity intention in community services were proved to be pivotal. In order for the continuity intention in community services, the two factors of benefits and quality were the influential factors. From a policy maker's standpoint, the relationship continuity was the most important factor.

Continuity of Care in Chronic Diseases: A Concept Analysis by Literature Review

  • Hu, Jingjing;Wang, Yuexia;Li, Xiaoxi
    • Journal of Korean Academy of Nursing
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    • v.50 no.4
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    • pp.513-522
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    • 2020
  • Purpose: This study aimed to utilize concept analysis to obtain a better understanding of the concept of "continuity of care" in chronic diseases. Methods: The concept of continuity of care was analyzed using the Walker and Avant method. Covering literature in English from 1930 to 2018, the data sources included CINAHL Complete, Academic Search Complete, MEDLINE, PsyARTICLES, Health Source: Nursing/Academic Edition, Google Scholar, Science Direct, and the Cochrane Library. Results: A comprehensive definition of concept of continuity of care was developed based on a systematic search and synthesis. The key defining attributes were identified as (a) care over time, (b) the relationship between an individual patient and a care team, (c) information transfer, (d) coordination, and (e) meeting changing needs. The antecedents of continuity of care were having a chronic disease, inexperienced with disease management, a poorly coordinated healthcare system, and medical care limitations. The consequences of continuity of care were decreasing hospital admissions, reducing costs, reducing emergency room visits, improving the quality of life, improving patient satisfaction, and delivering good healthcare. Conclusion: The thorough concept analysis provides insight into the nature of "continuity of care" in chronic diseases and also helps ground the concept in healthcare.

A Study on the Establishment of Executable Continuity of Operations(COOP) to Local Governments focusing on Organization (조직중심의 지자체 기능연속성계획(COOP) 수립방안 및 실행력 확보에 관한 연구)

  • Choi, Hye Ryoung;Lee, Young Jai;Cheung, Chong Soo
    • Journal of the Society of Disaster Information
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    • v.18 no.2
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    • pp.405-417
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    • 2022
  • Purpose: As an administrative organization that directly affects the safety and livelihood of the people, local governments are important to ensure the continuity of key functions in the event of a disaster. The purpose of this study is to review effective methods for establishing and implementing a continuity of operations plan to protect and maintain the key functions of local governments. Method: In order to improve the inefficiency of the ISO22301-based continuity of operation plan, applying the organizational-oriented functional continuity method and set up the planning method, key functions, required resources, and basic education and training forms, and apply to local governments and review their feasibility. Result: The proposed organization-oriented continuity of operation plan preparation method reflects the characteristics of bureaucratic local governments and makes it easy to prepare and apply in practice. Conclusion: Compared to the private sector, in the public sector, where work is organization-oriented, it can be a more efficient way to fully reflect the organizational point of view in establishing a continuity of Opertaions plan.

Some Results of Generalized Homomorphisms on Banach Algebras

  • Kim, Gwang-Hui
    • Journal of the Chungcheong Mathematical Society
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    • v.4 no.1
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    • pp.49-54
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    • 1991
  • In the paper of Johnson[4], the results about continuity of homomorphisms were applied to those of generalized homomorphisms. This paper presents the results helpful to prove the continuity of generalized homomorphisms on Banach algebra and the continuity of generalized homomorphisms on it.

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