• 제목/요약/키워드: $G_b$-metric space

검색결과 44건 처리시간 0.018초

HUGE COUPLED COINCIDENCE POINT THEOREM FOR GENERALIZED COMPATIBLE PAIR OF MAPPINGS WITH APPLICATIONS

  • DESHPANDE, BHAVANA;HANDA, AMRISH
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제23권1호
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    • pp.73-96
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    • 2016
  • We establish a coupled coincidence point theorem for generalized com-patible pair of mappings under generalized nonlinear contraction on a partially or-dered metric space. We also deduce certain coupled fixed point results without mixed monotone property of F : X × X → X . An example supporting to our result has also been cited. As an application the solution of integral equations are obtained here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

COMMON COUPLED FIXED POINT THEOREM UNDER GENERALIZED MIZOGUCHI-TAKAHASHI CONTRACTION FOR HYBRID PAIR OF MAPPINGS GENERALIZED MIZOGUCHI-TAKAHASHI CONTRACTION

  • DESHPANDE, BHAVANA;HANDA, AMRISH
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제22권3호
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    • pp.199-214
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    • 2015
  • We establish a common coupled fixed point theorem for hybrid pair of mappings under generalized Mizoguchi-Takahashi contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled oincidence point, we do not employ the condition of continuity of any mapping involved therein. An example is also given to validate our results. We improve, extend and generalize several known results.

A Data Mining Approach for Selecting Bitmap Join Indices

  • Bellatreche, Ladjel;Missaoui, Rokia;Necir, Hamid;Drias, Habiba
    • Journal of Computing Science and Engineering
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    • 제1권2호
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    • pp.177-194
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    • 2007
  • Index selection is one of the most important decisions to take in the physical design of relational data warehouses. Indices reduce significantly the cost of processing complex OLAP queries, but require storage cost and induce maintenance overhead. Two main types of indices are available: mono-attribute indices (e.g., B-tree, bitmap, hash, etc.) and multi-attribute indices (join indices, bitmap join indices). To optimize star join queries characterized by joins between a large fact table and multiple dimension tables and selections on dimension tables, bitmap join indices are well adapted. They require less storage cost due to their binary representation. However, selecting these indices is a difficult task due to the exponential number of candidate attributes to be indexed. Most of approaches for index selection follow two main steps: (1) pruning the search space (i.e., reducing the number of candidate attributes) and (2) selecting indices using the pruned search space. In this paper, we first propose a data mining driven approach to prune the search space of bitmap join index selection problem. As opposed to an existing our technique that only uses frequency of attributes in queries as a pruning metric, our technique uses not only frequencies, but also other parameters such as the size of dimension tables involved in the indexing process, size of each dimension tuple, and page size on disk. We then define a greedy algorithm to select bitmap join indices that minimize processing cost and verify storage constraint. Finally, in order to evaluate the efficiency of our approach, we compare it with some existing techniques.

생물보전지수(IBI) 및 서식지 평가지수(QHEI)를 활용한 지하 매립형 방틀둠벙의 어류 서식처 기능 평가 (Evaluation on Functional Assessment for Fish Habitat of Underground type Eco-Artificial Fish Reef using the Index of Biological Integrity (IBI) and Qualitative Habitat Evaluation Index (QHEI))

  • 안창혁;주진철;권재형;송호면
    • 대한토목학회논문집
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    • 제31권6B호
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    • pp.565-575
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    • 2011
  • 본 연구는 다변수 접근방식인 서식지평가 정성지수(Qualitative Habitat Evaluation Index, QHEI)와 생물보전지수(Index of Biological Integrity, IBI)의 적용방법 도입과 어류 서식 및 피신처 확보용 인공구조물인 방틀둠벙의 정량적인 평가를 목적으로 하였다. 또한, 안동시 남후면 하아리에 소재한 한국건설기술연구원 수자원 환경실험센터의 실외 실험장을 활용하여 실규모로 생물 평가와 검증을 실시하였다. 본 평가기법의 적용을 위해 구성한 실험수로 및 방틀둠벙 시설은 국내 하천의 조건을 최대한 반영하여 조성하였으며, 흐름상태와 정체상태로 구분하여 유속 $0.0{\sim}1.5m\;s^{-1}$, 폭 1.0~3.0 m, 수심 0.05~0.70 m, 다양한 하상재료를 조성하여 2010년 5월~12월의 8개월간 모니터링 하였다. QHEI는 실험수로의 E~F지점이 평균 83.1로 가장 높게 나타났고, B~C지점에서 78.1로 가장 낮게 나타났다. 하지만 방틀둠벙은 시 공간적 구분 없이 98.9 이상의 값을 나타내어 전체 지점 중 가장 높은 양호상태(Good)의 서식처 조건을 유지하였다. IBI는 전반적으로 QHEI와 비슷한 패턴을 나타내었으나 겨울 갈수기에 양호상태(Good)인 44.2를 보여 32.8을 나타낸 실험수로와 비교되었다. 또한, 흐름과 정체상태 조건에서 방틀둠벙의 IBI 값은 실험수로보다 각각 5.7~11.4%, 18.7~34.8% 높은 평가 값을 나타내어, 유량이 적거나 흐름이 없는 갈수기에 어류 서식처 확보 가능성을 정량적으로 시사하였다. 종합적인 수생태계 건강성 평가에서 실험하천은 보통과 양호상태(Fair~Good) 범위를 나타낸 반면, 방틀둠벙은 대부분 양호상태(Good)를 보여 수생태계 건강성 확보에 적용 가능함을 도출하였다.