• 제목/요약/키워드: weakly compatible

검색결과 67건 처리시간 0.02초

UNIQUE POINT OF COINCIDENCE FOR TWO MAPPINGS WITH 𝜑- OR 𝜓-𝜙-CONTRACTIVE CONDITIONS ON 2-METRIC SPACES

  • Xu, Ming-Xing;Huang, Xin;Piao, Yong-Jie
    • 충청수학회지
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    • 제29권3호
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    • pp.417-428
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    • 2016
  • We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying ${\varphi}$-contractive conditions or ${\psi}$-${\phi}$-contractive conditions determined by semi-continuous functions on non-complete 2-metric spaces, in which the mappings do not satisfy commutativity and uniform boundedness. The obtained results generalize and improve many well-known and corresponding conclusions.

In vitro Biodegradability and Surface Properties of Block Copoly(ester-ether)s Consisting of Poly(L-lactide) and Polyether

  • Lee, Chan-Woo;Kim, Yoshiharu ura
    • Macromolecular Research
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    • 제11권1호
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    • pp.42-46
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    • 2003
  • Cell attachment and proliferation on the polymer films of triblock copolymer(ester-ether)s comprising po1y (L-1actide) (PLLA) and poly (oxyethylene-co-oxypropylene)(PN) were investigated using 3T3 fibroblasts. It was found that on the tissue culture polystyrene(TCPS) and the PLLA control film the cells could spread well while on the copolymer films the cells showed a rounded morphology without spreading and proliferated weakly. Especially, little cells proliferated on the films of copolymer having a LN composition of 20 wt%. While the water absorption of the copolymer films increased with increasing PN content, the contact angle against water of copolymer films immersed in aqueous medium was almost identical, being slightly lower than that of the PLLA film. These properties were compatible with the results of cell attachment. The in vitro hydrolysis of the films of triblock and multiblock type copolymers was faster with increasing PN content. The increased hydrolyzability, the flexibility and the decreased cell attachment suggested that these copolymers may have high potential as biodegradable materials for medical use.

귀지선 종양 증례 1 (Ceruminous Gland Tumor in a Dog)

  • 최을수;제갈준;배보경;최지희;정성목;?해경;김대용;이상우
    • 한국임상수의학회지
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    • 제19권3호
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    • pp.353-356
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    • 2002
  • A 9-year-old male Yorkshire terrior with recurrent chronic otitis externa and otitis interna was referred to the Veterinary Medical Teaching Hospital of Seoul National University. Radiographic findings indicated mineralization around the right ear canal. A tan nodular mats, 1 cm in diameter. was noted near the tympanum after total ear canal ablation. Cytologically. the imprint smear of the cut surface of the mass produced clusters of cells with abundant and weakly basophilic cytoplasm, one small round nucleus and one or two nucleoli, mixed with both degenerate and non degenerate neutrophils. The location of the nuclei was eccentric, and some cells contained somewhat coarse black granules in their cytoplasms, on which the mass was diagnoted as ceruminous gland adenoma or hyperplasia associated with inflammation. Histopathologic examination of the tumor was compatible with a diagnosit of ceruminous gland adenoma. The patient is responding well to sugery and antimicrobial treatment.

CONTROL FUNCTION BASED COUPLED AND COMMON COUPLED FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

  • H. K. Nashine;G. S. Saluja;G. V. V. Jagannadha Rao;W. H. Lim
    • Nonlinear Functional Analysis and Applications
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    • 제29권2호
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    • pp.559-580
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    • 2024
  • In this paper, we aim to prove coupled and common coupled fixed point theorems for contractive type conditions in the context of partial metric spaces by means of a control function, and to provide some corollaries of the established results. This paper presents a number of results that generalize and extend previous work in the field. In order to better illustrate the process, we provide examples.

ON ANNIHILATIONS OF IDEALS IN SKEW MONOID RINGS

  • Mohammadi, Rasul;Moussavi, Ahmad;Zahiri, Masoome
    • 대한수학회지
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    • 제53권2호
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    • pp.381-401
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    • 2016
  • According to Jacobson [31], a right ideal is bounded if it contains a non-zero ideal, and Faith [15] called a ring strongly right bounded if every non-zero right ideal is bounded. From [30], a ring is strongly right AB if every non-zero right annihilator is bounded. In this paper, we introduce and investigate a particular class of McCoy rings which satisfy Property (A) and the conditions asked by Nielsen [42]. It is shown that for a u.p.-monoid M and ${\sigma}:M{\rightarrow}End(R)$ a compatible monoid homomorphism, if R is reversible, then the skew monoid ring R * M is strongly right AB. If R is a strongly right AB ring, M is a u.p.-monoid and ${\sigma}:M{\rightarrow}End(R)$ is a weakly rigid monoid homomorphism, then the skew monoid ring R * M has right Property (A).

SEMI-ANALYTIC MODELS FOR ELECTRON ACCELERATION IN WEAK ICM SHOCKS

  • Kang, Hyesung
    • 천문학회지
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    • 제53권3호
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    • pp.59-67
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    • 2020
  • We propose semi-analytic models for the electron momentum distribution in weak shocks that accounts for both in situ acceleration and re-acceleration through diffusive shock acceleration (DSA). In the former case, a small fraction of incoming electrons is assumed to be reflected at the shock ramp and pre-accelerated to the so-called injection momentum, pinj, above which particles can diffuse across the shock transition and participate in the DSA process. This leads to the DSA power-law distribution extending from the smallest momentum of reflected electrons, pref, all the way to the cutoff momentum, peq, constrained by radiative cooling. In the latter case, fossil electrons, specified by a power-law spectrum with a cutoff, are assumed to be re-accelerated from pref up to peq via DSA. We show that, in the in situ acceleration model, the amplitude of radio synchrotron emission depends strongly on the shock Mach number, whereas it varies rather weakly in the re-acceleration model. Considering the rather turbulent nature of shocks in the intracluster medium, such extreme dependence for the in situ acceleration might not be compatible with the relatively smooth surface brightness of observed radio relics.

포천지역 고남산 반려암질암 내 발생하는 후기 화성활동에 관한 예비 연구 (A Preliminary Study on the Post-magmatic Activities Occurring at the Gonamsan Gabbroic Rocks in the Pocheon Area)

  • 이지현;김의준;신동복
    • 자원환경지질
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    • 제55권1호
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    • pp.77-95
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    • 2022
  • 고남산 반려암 복합체는 경기도 포천군 관인면 일대에 분포하고, 마그마 분화과정의 결과 다양한 반려암질 화성암과 Fe-Ti oxide 광화작용으로 구성되며, 후기 화성작용 동안 반려암질 페그마타이트와 휘석-인회석-저어콘 우세 암석들은 다시 반려암질 모암을 관입하고 있다. 반려암질 페그마타이트는 다양한 규모와 형태로 반려암질 모암의 몬조섬록암과 산화물 반려암(oxide gabbro)을 관입하고, 고품위 Fe-Ti oxide 광화작용과 공간적으로 밀접하게 산출한다. 반려암질 페그마타이트는 구성광물에 따라 사장석-각섬석 우세와 휘석-감람석 우세 페그마타이트로 세분되며, 두 암상은 명확한 암상경계를 갖는다. 사장석-각섬석 페그마타이트는 휘석, 티탄철석, 스핀, 인회석, 흑운모가 부수적으로 주 구성광물의 간극을 채운다. 부분적으로 거정의 라스(lath)상 사장석(An2-26Ab72-98Or0-2) 결정 간 각진 공간을 각섬석이 충전하는 간립상 조직(intergraunlar texture)을 보인다. 휘석-감람석 페그마타이트는 암회색 내지 흑색을 띠며, 부수적으로 자철석, 티탄철석, 첨정석, 방해석, 인회석 등이 함께 산출한다. 휘석(En35-36Fs8-9Wo55)과 감람석(Fo84-85Fa15-16)은 부분적으로 세립의 자형 감람석을 거정의 휘석이 에워싸는 포이킬리틱 조직(poikilitic texture)을 보인다. Fe-Ti oxide 광물은 자철석과 티탄철석으로 구성되고, 주로 먼저 형성된 규산염 광물들의 간극을 충전한다. 그 결과로 Fe-Ti oxide 광물들은 주변 규산염광물들과의 경계부를 따라 각섬석과 흑운모로 구성된 반응연(reaction rim)이 발달한다. 자철석은 결정 내 다량의 산화용리(oxyexsolved)된 격자형(trellis type) 티탄철석과 첨정석 엽편을 포함하고, 자철석 호정원소인 Ti, Al, Mg, V 등이 농집되어 있다. 반려암질 페그마타이트와 반려암 모암 간 암상경계와 광물학적 비평형은 반려암질 페그마타이트의 형성이 마그마 분화과정 중 반려암 모암으로부터 현 위치에서 직접적으로 형성되기 보다는 Fe-부화 멜트(혹은 용액)로부터 현 위치로 이동 후 집적되었을 것으로 사료된다. 따라서 후기 화성활동의 추가 연구는 반려암질 마그마의 분화과정 뿐 아니라, 마그마 분화과정의 결과로 반려암질 암석 내에 형성된 Fe-Ti oxide 광화작용을 이해하는데 중요한 정보를 제공할 것으로 기대된다.