• Title/Summary/Keyword: compatible of type(${\alpha}$)

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

  • Park, Jong-Seo
    • Honam Mathematical Journal
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    • v.32 no.2
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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].

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

  • Sharma, Sushil;Singh, Amardeep
    • East Asian mathematical journal
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    • v.23 no.1
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    • pp.123-133
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    • 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].

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

  • Alaca, Cihangir;Altun, Ishak;Turkoglu, Duran
    • Communications of the Korean Mathematical Society
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    • v.23 no.3
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    • pp.427-446
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    • 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
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    • v.8 no.4
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    • pp.299-305
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    • 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
    • The Pure and Applied Mathematics
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    • v.25 no.2
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    • pp.73-94
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    • 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

  • Kim, Il-Joong;Seon, Kwang-Il;Min, Kyoung-Wook;Han, Wonyong;Edelstein, Jerry
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.99.2-99.2
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    • 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.

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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
    • Proceedings of the Korean Society for Applied Microbiology Conference
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    • 2004.06a
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    • pp.278-281
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    • 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.

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

  • Ji Eun Jeong;Hwa Young Kim;Jung Min Ko
    • Journal of The Korean Society of Inherited Metabolic disease
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    • v.23 no.2
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    • pp.39-44
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    • 2023
  • Hereditary tyrosinemia type 1 (HT-1) is a metabolic disorder caused by biallelic pathogenic variants in the fumarylacetoacetate hydrolase (FAH) gene, which impairs the function of the FAH enzyme, resulting in the accumulation of tyrosine's toxic metabolites in hepatocytes and renal tubular cells. As a consequence, individuals with HT-1 exhibit symptomatic manifestations. Rapid diagnosis and treatment of HT-1 can prevent short-term death and long-term complications. A 15-day-old boy presented to the outpatient department with elevated levels of tyrosine on his newborn screening tests conducted at the age of 3 and 10 days, respectively. Further blood tests revealed increased levels of alpha-fetoprotein and amino acids including tyrosine and threonine. Urine organic acid tests indicated a significant elevation in tyrosine metabolites, as well as the presence of succinylacetone (SA), which led to the diagnosis of HT-1. Two pathogenic and likely pathogenic variants of FAH compatible with HT-1 were also detected. He began a tyrosine-restricted diet at one month old and received nitisinone (NTBC) at two months old. With continued treatment, the patient's initially elevated AFP level, detection of SA in the urine, and mild hepatomegaly showed improvement. During four years and seven months of treatment, there were no exceptional complications apart from an increase in tyrosine levels and a delay in speech. We report a case of tyrosinemia type 1 detected through newborn screening, treated with dietary restriction and NTBC, with a good prognosis.

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