• Title/Summary/Keyword: Property Mapping

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Fixed Point Theorems in Product Spaces

  • Bae, Jong Sook;Park, Myoung Sook
    • Journal of the Chungcheong Mathematical Society
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    • v.6 no.1
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    • pp.53-57
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    • 1993
  • Let E and F be Banach spaces with $X{\subset}E$ and $Y{\subset}F$. Suppose that X is weakly compact, convex and has the fixed point property for a nonexpansive mapping, and Y has the fixed point property for a multivalued nonexpansive mapping. Then $(X{\oplus}Y)_p$, $1{\leq}$ P < ${\infty}$ has the fixed point property for a multi valued nonexpansive mapping. Furthermore, if X has the generic fixed point property for a nonexpansive mapping, then $(X{\oplus}Y)_{\infty}$ has the fixed point property for a multi valued nonexpansive mapping.

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Development of Property Mapping Contents between Open BIM Data and Automated Code Checking System (개방형BIM 데이터와 법규 자동화 검토 시스템 간 속성 매핑 체계 개발)

  • Kim, Inhan;Bae, Jongyeon;Choi, Jungsik
    • Korean Journal of Computational Design and Engineering
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    • v.22 no.2
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    • pp.118-128
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    • 2017
  • Many countries have been developing BIM-based building code checking system and studies in the utilization of Industry Foundation Classes (IFC) in building code checking. IFC is the open standard of BIM format. Currently, there is a disadvantage that could not include all of the attribute for the regulations of each country and there is the problem with the interoperability of the different defined IFC approach between BIM software. This study focus on developing, derived object and property by comparing through domestic regulation and IFC2x3 specification provided by the buildingSMART and classified review type depending on the interoperability of derived information. According to classified review type, the IFC data structure was established and property mapping contents were developed by including BIM software compatible information and creating a type of review plan. When the developed property mapping contents are applied into BIM-based building code checking system, checking of the BIM data generated from various fields is made effective and thus improving the interoperability of information.

COMMON FIXED POINT THEOREMS FOR GENERALIZED 𝜓∫𝜑-WEAKLY CONTRACTIVE MAPPINGS IN G-METRIC SPACES

  • Kim, Jong Kyu;Kumar, Manoj;Bhardwaj, Preeti;Imdad, Mohammad
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.3
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    • pp.565-580
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    • 2021
  • In this paper, first of all we prove a fixed point theorem for 𝜓∫𝜑-weakly contractive mapping. Next, we prove some common fixed point theorems for a pair of weakly compatible self maps along with E.A. property and (CLR) property. An example is also given to support our results.

Ontology Mapping using Semantic Relationship Set of the WordNet (워드넷의 의미 관계 집합을 이용한 온톨로지 매핑)

  • Kwak, Jung-Ae;Yong, Hwan-Seung
    • Journal of KIISE:Databases
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    • v.36 no.6
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    • pp.466-475
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    • 2009
  • Considerable research in the field of ontology mapping has been done when information sharing and reuse becomes necessary by a variety of ontology development. Ontology mapping method consists of the lexical, structural, instance, and logical inference similarity computing. Lexical similarity computing used in most ontology mapping methods performs an ontology mapping by using the synonym set defined in the WordNet. In this paper, we define the Super Word Set including the hypenym, hyponym, holonym, and meronym set and propose an ontology mapping method using the Super Word Set. The results of experiments show that our method improves the performance by up to 12%, compared with previous ontology mapping method.

Quaternary Sequence with Ideal Autocorrelation Property (이상적인 자기 상관 특성을 갖는 4진 수열)

  • Jang, Ji-Woong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.8
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    • pp.445-452
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    • 2014
  • In this paper, we define ideal autocorrelation property for balanced quaternary sequence with even period. We also prove that our definition is ideal autocorrelation property for balanced quaternary sequence with even period. Furthermore, we propose a generation method of quaternary sequence with ideal autocorrelation property of period $2{\times}(2^n-1)$ using a binary sequence with ideal autocorrelation of period $2^n-1$ and Gray mapping. We also derive the autocorrelation value distribution of the newly proposed quaternary sequence.

BI-LIPSCHITZ PROPERTY AND DISTORTION THEOREMS FOR PLANAR HARMONIC MAPPINGS WITH M-LINEARLY CONNECTED HOLOMORPHIC PART

  • Huang, Jie;Zhu, Jian-Feng
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.5
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    • pp.1419-1431
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    • 2018
  • Let $f=h+{\bar{g}}$ be a harmonic mapping of the unit disk ${\mathbb{D}}$ with the holomorphic part h satisfying that h is injective and $h({\mathbb{D}})$ is an M-linearly connected domain. In this paper, we obtain the sufficient and necessary conditions for f to be bi-Lipschitz, which is in particular, quasiconformal. Moreover, some distortion theorems are also obtained.

A Study for properties of Mapping processes to 3D game modeling (3D 게임 MAP을 위한 MAPPING 방법 특성 연구)

  • Cho, Hyung-ik
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.10a
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    • pp.447-449
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    • 2012
  • There are many essential elements in making the realistic 3D games, of which one of the most important is mapping. Mapping can add the details to 3D objects easily, which are impossible or difficult by modeling alone, and can reduce file data capacities to run the game engine. The theory of the mapping is to throw 2D image on 3D object correctly, but they do not match each other at the rate of 1:1 100 percent completely due to the difference of the fundamental property of them. To solve this problem, various kinds of mapping methods are developed and used. This paper will compare and analyze the characteristics, and merits and demerits of these various kinds of mapping methods and will inquire which method is the most efficient one.

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APPROXIMATING FIXED POINTS OF NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES WITHOUT UNIFORM CONVEXITY

  • Sahu, Daya Ram;Khan, Abdul Rahim;Kang, Shin Min
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.3
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    • pp.1007-1020
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    • 2013
  • Approximate fixed point property problem for Mann iteration sequence of a nonexpansive mapping has been resolved on a Banach space independent of uniform (strict) convexity by Ishikawa [Fixed points and iteration of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc. 59 (1976), 65-71]. In this paper, we solve this problem for a class of mappings wider than the class of asymptotically nonexpansive mappings on an arbitrary normed space. Our results generalize and extend several known results.