• 제목/요약/키워드: compatible of type(${\alpha}$)

검색결과 10건 처리시간 0.027초

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

  • Park, Jong-Seo
    • 호남수학학술지
    • /
    • 제32권2호
    • /
    • pp.283-298
    • /
    • 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].

COMMON FIXED POINT FOR WEAK COMPATIBLE MAPPINGS OF TYPE ($\alpha$) IN MENGER SPACES

  • Sharma, Sushil;Singh, Amardeep
    • East Asian mathematical journal
    • /
    • 제23권1호
    • /
    • pp.123-133
    • /
    • 2007
  • In this paper we prove common fixed point theorem for four mappings, under the condition of compatible mappings of type ($\alpha$) in Menger space, without taking any function continuous. We improve results of Pathak, Kang and Baek [13] and Cho, Murthy and Stojakovic [37].

  • PDF

ON COMPATIBLE MAPPINGS OF TYPE (I) AND (II) IN INTUITIONISTIC FUZZY METRIC SPACES

  • Alaca, Cihangir;Altun, Ishak;Turkoglu, Duran
    • 대한수학회논문집
    • /
    • 제23권3호
    • /
    • pp.427-446
    • /
    • 2008
  • In this paper, we give some new definitions of compatible mappings in intuitionistic fuzzy metric spaces and we prove a common fixed point theorem for four mappings under the condition of compatible mappings of type (I) and of type (II) in complete intuitionistic fuzzy metric spaces.

On Some Results for Five Mappings using Compatibility of Type(α) in Intuitionistic Fuzzy Metric Space

  • Park, Jong-Seo;Park, Jin-Han;Kwun, Young-Chel
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제8권4호
    • /
    • pp.299-305
    • /
    • 2008
  • The object of this paper is to introduce the notion of compatible mapping of type(${\alpha}$) in intuitionistic fuzzy metric space, and to establish common fixed point theorem for five mappings in intuitionistic fuzzy metric space. Our research are an extension for the results of [1] and [7].

EMPLOYING α-ψ-CONTRACTION TO PROVE COUPLED COINCIDENCE POINT THEOREM FOR GENERALIZED COMPATIBLE PAIR OF MAPPINGS ON PARTIALLY ORDERED METRIC SPACES

  • Deshpande, Bhavana;Handa, Amrish
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제25권2호
    • /
    • pp.73-94
    • /
    • 2018
  • We introduce some new type of admissible mappings and prove a coupled coincidence point theorem by using newly defined concepts for generalized compatible pair of mappings satisfying ${\alpha}-{\psi}$ contraction on partially ordered metric spaces. We also prove the uniqueness of a coupled fixed point for such mappings in this setup. Furthermore, we give an example and an application to integral equations to demonstrate the applicability of the obtained results. Our results generalize some recent results in the literature.

FUV Spectral Images of the Vela Supernova Remnant: Comparisons with X-ray and $H{\alpha}$ images

  • 김일중;선광일;민경욱;한원용
    • 천문학회보
    • /
    • 제37권2호
    • /
    • pp.99.2-99.2
    • /
    • 2012
  • We updated the far-ultraviolet (FUV) spectral images of the entire Vela supernova remnant (SNR) using newly processed FIMS/SPEAR data. In the present study, we compare the newly produced FUV images with the X-ray and $H{\alpha}$ images, and examine how the Vela SNR evolves and interacts with the ambient medium on a global scale. The comparison with X-ray images has revealed a FUV filamentary feature corresponding with the boundary of the northeast-southwest asymmetry of the X-ray shell. The relatively low O IV] ${\lambda}1404$ to O III] ${\lambda}{\lambda}1661$, 1666 ratio estimated on the FUV filament is compatible with the previous proposal that the observed asymmetry of the Vela SNR could be due to the ${\gamma}2$ Velorum stellar wind bubble (SWB). The southwest FUV features surrounding a faint extended X-ray region are characterized as the region where the Vela SNR is interacting slightly stronger with ambient mediums within the dim X-ray southwest section. From a comparison with the $H{\alpha}$ image, we identify a ring-like $H{\alpha}$ feature overlapped with an extended hot X-ray feature of similar size and two local peaks of C IV ${\lambda}{\lambda}1548$, 1551 emission. Their morphologies are consistent with the expected shape when the $H{\alpha}$ ring is in direct contact with the near or far side of the Vela SNR. We suggest that the B3V-type star HD 76161 found at the center of the $H{\alpha}$ ring would be the exciting source of the H II region.

  • PDF

Functional Characterization and Application of the HpOCH2 Gene, Encoding an Initiating $\alpha$l,6-Mannosyltransferase, for N-glycan Engineering in the Methylotrophic Yeast Hansenula polymorpha

  • Kim, Moo-Woong;Kim, Eun-Jung;Kim, Jeong-Yoon;Rhee, Sang-Ki;Kang, Hyun-Ah
    • 한국미생물생명공학회:학술대회논문집
    • /
    • 한국미생물생명공학회 2004년도 Annual Meeting BioExibition International Symposium
    • /
    • pp.278-281
    • /
    • 2004
  • The $\alpha$1,6-mannosyltransferase encoded by Saccharomyces cerevisiae OCH1 plays a key role for the outer chain initiation of the N-linked oligosaccharides. A search for Hansenula polymorpha genes homologous to S. cerevisiae OCHI (ScOCH1) has revealed seven open reading frames (ORF100, ORF142, ORF168, ORF288, ORF379, ORF576, ORF580). All of the seven ORFs are predicted to be a type II integral membrane protein containing a transmembrane domain near the amino-terminal region and has a DXD motif, which has been found in the active site of many glycosyltransferases. Among this seven-membered OCH1 gene family of H. polymorpha, we have carried out a functional analysis of H. polymorpha ORF168 (HpOCH2) showing the highest identity to ScOCH1. Inactivation of this protein by disruption of corresponding gene resulted in several phenotypes suggestive of cell wall defects, including hypersensitivity to hygromycin B and sodium deoxycholate. The structural analysis of N-glycans synthesized in HpOCH2-disrupted strain (Hpoch2Δ) and the in vitro $\alpha$1,6-mannosyltransferase activity assay strongly indicate that HpOch2p is a key enzyme adding the first $\alpha$1,6-mannose residue on the core glycan Man$_{8}$GlcNAc$_2$. The Hpoch2Δ was further genetically engineered to synthesize a recombinant glycoprotein with the human compatible N-linked oligosaccharide, Man$_{5}$GlcNAc$_2$, by overexpression of the Aspergillus saitoi $\alpha$1,2-mannosidase with the 'HDEL” ER retention signal.gnal.

  • PDF

신생아 선별검사를 통해 진단된 1형 타이로신혈증의 NTBC 치료 사례 보고 (Case Report on NTBC Treatment of Type 1 Tyrosinemia Diagnosed through Newborn Screening)

  • 정지은;김화영;고정민
    • 대한유전성대사질환학회지
    • /
    • 제23권2호
    • /
    • pp.39-44
    • /
    • 2023
  • HT-1은 FAH 유전자의 돌연변이에 의해 타이로신 대사의 중간산물이 축적되어 발생하는 유전성 대사 질환이다. 치료하지 않으면 치명적인 결과를 초래할 수 있으며, 간 기능 및 신세뇨관 기능 장애와 더불어 Fanconi 증후군, 포르피린증과 유사한 증상, 지능지수 감소, 인지기능 저하 등을 초래할 수 있다. 국내에서는 탠덤매스 스크리닝을 이용한 신생아 대사이상 선별검사를 통한 조기 진단과 함께 NTBC 약물 치료의 도입으로 치료 성적이 향상되었다. 본 증례는 생후 1개월에 급성 HT-1으로 진단 후 4년 7개월째 NTBC 치료 중인 증례로, 환아는 현재까지 단백 제한식이와 NTBC 복용을 유지하면서 언어지연 외에 특별한 합병증 없이 추적 관찰 중이다. NTBC의 복용이 간 및 신장 기능의 보존과 신경학적 예후에 미치는 영향에 대해서는 장기적인 추적 연구가 필요하다.

  • PDF