• 제목/요약/키워드: Education Example

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COMPATIBLE MAPS OF TWO TYPES AND COMMON FIXED POINT THEOREMS ON INTUITIONISTIC FUZZY METRIC SPACE

  • Park, Jong-Seo
    • 호남수학학술지
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    • 제32권2호
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    • pp.283-298
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    • 2010
  • In this paper, we introduce the concept of compatible mapping of type(${\alpha}$-1) and type(${\alpha}$-2), prove the some properties and common fixed point theorem for such maps in intuitionistic fuzzy metric space. Also, we give the example. Our research are an extension for the results of Kutukcu and Sharma[3] and Park et.al.[11].

Some Common Fixed Points for Type(β) Compatible Maps in an Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제13권2호
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    • pp.147-153
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    • 2013
  • Previously, Park et al. (2005) defined an intuitionistic fuzzy metric space and studied several fixed-point theories in this space. This paper provides definitions and describe the properties of type(${\beta}$) compatible mappings, and prove some common fixed points for four self-mappings that are compatible with type(${\beta}$) in an intuitionistic fuzzy metric space. This paper also presents an example of a common fixed point that satisfies the conditions of Theorem 4.1 in an intuitionistic fuzzy metric space.

Fixed Point Theorem for Compatible Maps with Type(I) and (II) in Intuitionistic Fuzzy Metric Space

  • Park, Jong-Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권3호
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    • pp.194-199
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    • 2010
  • In this paper, we give definitions of compatible mappings of type(I) and (II) in intuitionistic fuzzy metric space and obtain common fixed point theorem and example under the conditions of compatible mappings of type(I) and (II) in complete intuitionistic fuzzy metric space. Our research generalize, extend and improve the results given by many authors.

A PROPERTY OF P-INJETIVE RING

  • Hong, Chan-Yong
    • 한국수학교육학회지시리즈A:수학교육
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    • 제31권2호
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    • pp.141-144
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    • 1992
  • In this paper, some properties of p-injective ring is studied: The Jacobson radical of a pinjective ring which satisfies the ascending chain condition on essential left ideals is nilpotent. Also, the left singular ideal of a ring which satisfies the ascending chain condition on essential left ideals is nilpotent. Finally, we give an example which shows that a semiprime left p-injective ring such that every essential left ideal is two-sided is not necessarily to be strongly regular.egular.

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𝛿-CONVEX STRUCTURE ON RECTANGULAR METRIC SPACES CONCERNING KANNAN-TYPE CONTRACTION AND REICH-TYPE CONTRACTION

  • Sharma, Dileep Kumar;Tiwari, Jayesh
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권4호
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    • pp.293-306
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    • 2022
  • In the present paper, we introduce the notation of 𝛿-convex rectangular metric spaces with the help of convex structure. We investigate fixed point results concerning Kannan-type contraction and Reich-type contraction in such spaces. We also propound an ingenious example in reference of given new notion.

AN INVESTIGATION ON THE EXISTENCE AND UNIQUENESS ANALYSIS OF THE FRACTIONAL NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

  • Fawzi Muttar Ismaael
    • Nonlinear Functional Analysis and Applications
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    • 제28권1호
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    • pp.237-249
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    • 2023
  • In this paper, by means of the Schauder fixed point theorem and Arzela-Ascoli theorem, the existence and uniqueness of solutions for a class of not instantaneous impulsive problems of nonlinear fractional functional Volterra-Fredholm integro-differential equations are investigated. An example is given to illustrate the main results.

DISCUSSION ON b-METRIC SPACES AND RELATED RESULTS IN METRIC AND G-METRIC SPACES

  • Bataihah, Anwar;Qawasmeh, Tariq;Shatnawi, Mutaz
    • Nonlinear Functional Analysis and Applications
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    • 제27권2호
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    • pp.233-247
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    • 2022
  • In the present manuscript, we employ the concepts of Θ-map and Φ-map to define a strong (𝜃, 𝜙)s-contraction of a map f in a b-metric space (M, db). Then we prove and derive many fixed point theorems as well as we provide an example to support our main result. Moreover, we utilize our results to obtain many results in the settings of metric and G-metric spaces. Our results improve and modify many results in the literature.

QUALITATIVE ANALYSIS OF ABR-FRACTIONAL VOLTERRA-FREDHOLM SYSTEM

  • Shakir M. Atshan;Ahmed A. Hamoud
    • Nonlinear Functional Analysis and Applications
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    • 제29권1호
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    • pp.113-130
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    • 2024
  • In this work, we explore the existence and uniqueness results for a class of boundary value issues for implicit Volterra-Fredholm nonlinear integro-differential equations (IDEs) with Atangana-Baleanu-Riemann fractional (ABR-fractional) that have non-instantaneous multi-point fractional boundary conditions. The findings are supported by Krasnoselskii's fixed point theorem, Gronwall-Bellman inequality, and the Banach contraction principle. Finally, a demonstrative example is provided to support our key findings.

보건의료분야 전문가간 대학 교육에 대한 사례연구 (A Review Study on Interprofessional College Education in Health Care Sector)

  • 윤병준;이준협
    • 한국학교ㆍ지역보건교육학회지
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    • 제11권1호
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    • pp.149-158
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    • 2010
  • Background & Objectives: Rising concerns about patient safety and looming health provider shortages were generating new recognition for an old idea. Interprofessional education means that two or more professions learn with, from and about other to improve collaboration and the quality of healthcare. The University of British Columbia established the College of Health Disciplines in 2001 to examine the merits of interprofessional health education. The objective of this study was to review UBC's interprofessional health education and to introduce the theoretical framework of interprofessional education for collaborative patient-centered practice. Methods: This study was conducted with the materials relevant to the interprofessional education. We reviewed the journals and Web site for this subject and we obtained interview data from administrators in the University of British Columbia, College of Health Disciplines. Results: We introduced interdisciplinary education for collaborative patient-centered practice model. It is assumed valuable model in preparing the interprofessional education as well as theoretical framework for implementation. We preseuted the example for interprofessional education of the College of Health Disciplines, University of British Columbia. Conclusion: We need to introduce the interprofessional education at the health care departments of University or College in Korea.

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