• 제목/요약/키워드: common proximity point

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SOME RESULTS ON COMMON BEST PROXIMITY POINT AND COMMON FIXED POINT THEOREM IN PROBABILISTIC MENGER SPACE

  • Shayanpour, Hamid
    • 대한수학회지
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    • 제53권5호
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    • pp.1037-1056
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    • 2016
  • In this paper, we define the concepts of commute proximally, dominate proximally, weakly dominate proximally, proximal generalized ${\varphi}$-contraction and common best proximity point in probabilistic Menger space. We prove some common best proximity point and common fixed point theorems for dominate proximally and weakly dominate proximally mappings in probabilistic Menger space under certain conditions. Finally we show that proximal generalized ${\varphi}$-contractions have best proximity point in probabilistic Menger space. Our results generalize many known results in metric space.

SOME RESULTS ON BEST PROXIMITY POINT FOR CYCLIC B-CONTRACTION AND S-WEAKLY CYCLIC B-CONTRACTION MAPPINGS

  • V. Anbukkarasi ;R. Theivaraman;M. Marudai ;P. S. Srinivasan
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제30권4호
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    • pp.417-427
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    • 2023
  • The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings.

점 계열 유사도에 기반한 모션 대응 알고리즘 (A Motion Correspondence Algorithm based on Point Series Similarity)

  • 엄기열;정재영;김문현
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제37권4호
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    • pp.305-310
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    • 2010
  • 본 논문에서는 점 계열 유사도에 기반하여 모션 대응에 대한 휴리스틱 알고리즘을 제안한다. 점 계열은 x좌표를 기준으로 하여 오름 차순으로 정렬된 일련의 점 들의 리스트이다. 본 연구에서는 국부근접성에 기반하여 현재 프레임 전 프레임의 점들을 클러스터링 하고, 각 그룹에 있는 점 들의 순서를 변경해 가면서 여러 개의 가상 점 계열들을 구성하며, 가상 점 계열은 근접 제약조건에 근거한 유사도를 이용하여 현재 프레임의 점 계열과 정합한다. 국부적 애매함을 해결하기 위해 두 개 점 계열간의 가장 긴부분 문자열을 찾는 방법이 전체적인 정보로 사용된다. PETS2009과 CAVIAR데이터 집합들과 같은 다양한 영상 이미지 시퀀스에 대해 본 연구의 모션 대응 알고리즘은 90%이상의 정확도를 보여준다.

병원감염에 관한 판례의 동향 (Trends of the Precedent Case concerning Hospitalized Acquired Infection)

  • 이동필
    • 의료법학
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    • 제8권1호
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    • pp.61-105
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    • 2007
  • The Hospitalized Acquired Infection is defined as the case where the hidden infection or not found at the time of hospitalization occurs during the hospitalized period or, within 30 days to those who performed the surgery operation and then left the hospital. About 2/3 of the Hospitalized Acquired Infection are found as having the internal infection cases that are occurred by the patients' own virus due to the lowered immune system, while about 1/3 are found as having the external infection. The latter 1/3 of the external infection cases can be prevented through the infection management. And in case the new Hospitalized Acquired Infection case occur to the patient who was treated in the hospital, its responsibility issue will matter. As well in the disputes over the Hospitalized Acquired Infection cases, the cause-result relation between the damages and the medical staff's fault and as to whether there is failure of the medical staff or not. personnel should be proved in the medical-malpractice cases. In addition, the difficulties in proving such as expertise, secrecy propensity, discrete propensity and incompleteness will be considered to ease the burden of patient side's proving. Probability theory, Fact based assumption theory, Most adequate plaintiff preassumption or Expressed evidence theories are being discussed as the theories of eased burden of proof. In the result of gathering and reviewing Korea's precedent cases concerning the Hospitalized Acquired Infection, there are only a few accumulated prece dent cases and the attitude of the court also are also not consistent. Therefore, there are the precedents where the cause-result relation and the failure are immediately assumed when (1) timely proximity between the medical behavior and malpractice results, (2) proximity between the medical behavior-applied parts and the malpractice results-found parts, and (3) lack of other causes are separately evidenced; while the are the precedents only when 'the existence of the medical faults based on the common sense' is separately evidenced. It was found that the former and latter cases coexisted. The former is considered as based on the theory that separates the fault and cause-result relation not to consider them together, or regarded as based on the doubts that assumes the medical staff's neglect even though the Hospitalized Acquired Infection might be completely prevented by their efforts. However, the modern medical technology has the limitation as far as the prevention of the Hospitalized Acquired Infection. In conclusion, the assumption of the cause-result relation and that of the fault should be separately reviewed. Therefore, the latter precedents are considered as more reasonable, in the point the faulty behavior may be proved based on the common sense.

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소아 암 환자에서 항암제 치료 후 발생한 구내염에 대한 저출력 레이저의 효과 (Effects of Low Level Laser Therapy on Oral Mucositis Caused by Anticancer Chemotherapy in Pediatric Patients)

  • 김혜자;노시연;신용섭
    • The Korean Journal of Pain
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    • 제14권1호
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    • pp.51-55
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    • 2001
  • Background: Oral mucositis is a common complication of anticancer chemotherapy. The sequelae of this consist of an increased risk of infection, moderate to severe pain, compromised oral function, and bleeding. This study was performed to evaluated the effects of the He-Ne laser and the Ga-Al-As laser on oral mucositis caused by anticancer chemotherapy in pediatric patients. Methods: There were 3 cases of osteosarcoma and 6 cases of leukemia. All patients received He-Ne laser (632.8 nm wavelength, power 60 mW) application on 400-600 Hz scanning for 5-20 minutes and Ga-Al-As laser (904 nm wavelength, power 40 mW) application by fiberoptic hand piece placed in immediate proximity to the tissue without direct contact with it for 30 seconds per point for 5 days per week. During the application patients wore wavelength-specific dark glasses and were instructed to keep their eyes closed. Results: The mean number of treatments with oral intake was $4.89{\pm}0.64$. The mean number of total treatments was $9.44{\pm}2.59$. There were no significant side effects during and after the laser treatments. Conclusions: He-Ne laser and Ga-Al-As (IR) laser treatment were well tolerated and reduced the severity and duration of chemotherapy-induced oral mucositis in pediatric oncologic patients.

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