• Title/Summary/Keyword: Space Convergence

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ON THE RADIUS OF CONVERGENCE OF SOME NEWTON-TYPE METHODS IN BANACH SPACES

  • Argyros, Ioannis K.;Hilout, Said
    • The Pure and Applied Mathematics
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    • v.18 no.3
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    • pp.219-230
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    • 2011
  • We determine the radius of convergence for some Newton{type methods (NTM) for approximating a locally unique solution of an equation in a Banach space setting. A comparison is given between the radii of (NTM) and Newton's method (NM). Numerical examples further validating the theoretical results are also provided in this study.

COMMON FIXED POINT OF GENERALIZED ASYMPTOTIC POINTWISE (QUASI-) NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

  • Saleh, Khairul;Fukhar-ud-din, Hafiz
    • Korean Journal of Mathematics
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    • v.28 no.4
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    • pp.915-929
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    • 2020
  • We prove a fixed point theorem for generalized asymptotic pointwise nonexpansive mapping in the setting of a hyperbolic space. A one-step iterative scheme approximating common fixed point of two generalized asymptotic pointwise (quasi-) nonexpansive mappings in this setting is provided. We obtain ∆-convergence and strong convergence theorems of the iterative scheme for two generalized asymptotic pointwise nonexpansive mappings in the same setting. Our results generalize and extend some related results in the literature.

A Study on Automatic Space Analysis for Plant Facilities Based on 3D Octree Argorithm by Using Laser Scanning Information

  • Kim, Donghyun;Kwon, Soonwook;Chung, Suwan;Ko, Hyunglyul
    • International conference on construction engineering and project management
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    • 2015.10a
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    • pp.667-668
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    • 2015
  • While the plant projects grow bigger and global attention to the plant is increasing, efficient space arrangement is not working in plant project because of the complex structure in installing the equipment unlike the construction project. In addition to this, presently, problem in installation process caused by the disagreement between floor plan and real spot is rising. Therefore the target of this research is to solve the problems and reaction differences, caused by changing the space arrangement in installing the equipment of plant construction. And this research suggests the equipment arrangement method for construction and related processes. To solve the problem, 3D cloud point data of space and equipment is collected by 3D laser scanning and the space matching is operated. In processing the space matching, data is simplified by applying the octree algorithm. This research simplifies the 3D configuration data acquired by 3D scanner equipment through the octree algorithm, and by comparing this data, identifies the space for target equipment, and finally suggests the algorithm that makes the auto space arrangement of equipment possible in construction site and also suggests the process to actualize this algorithm.

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THE LACUNARY STRONG ZWEIER CONVERGENT SEQUENCE SPACES

  • Sengonul, Mehmet
    • Communications of the Korean Mathematical Society
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    • v.25 no.1
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    • pp.51-57
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    • 2010
  • In this paper we introduce and study the lacunary strong Zweier sequence spaces $N_{\theta}^O[Z]$, $N_{\theta}[Z]$ consisting of all sequences x = $(x_k)$ such that (Zx) in the space $N_{\theta}$ and $N_{\theta}^O$ respectively, which is normed. Also, prove that $N_{\theta}^O[Z}$, $N_{\theta}[Z}$, are linearly isomorphic to the space $N_{\theta}^O$ and $N_{\theta}$, respectively. And we study some connections between lacunary strong Zweier sequence and lacunary statistical Zweier convergence sequence.

Improvement of Space Heater (I) - Comparison of Blowing Performance for Blowing Type - (온풍난방기 성능 개선 연구 (I) - 송풍방식에 따른 송풍성능 비교 -)

  • Kwon, Soon-Hong;Chung, Sung-Won;Lee, Seung-kee
    • Journal of the Korean Society of Industry Convergence
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    • v.3 no.3
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    • pp.245-250
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    • 2000
  • This study was carried out to investigate blowing performance for blowing type in space heater. This paper present that power requirement, static pressure, total pressure and static pressure efficiency were increased in proportion to air flow rate. And in the Korean space heater, side ward blowing type was effected than downward blowing type.

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A Study on the Formation of Global Satellite Data Services Industry and the Creation of New Markets through Convergence (글로벌 위성 데이터 활용산업의 형성과정과 융합을 통한 신시장 창출 패러다임 연구)

  • Chang Han Lee;Chie Hoon Song
    • Journal of the Korean Society of Industry Convergence
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    • v.26 no.3
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    • pp.483-497
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    • 2023
  • This study aims to provide strategic recommendations for promoting the development of the global satellite data services industry by analyzing the startup landscape. Based on the analysis of startup data, such as number of startups, market segment, and funding amount, we examined the paradigm shift in the global satellite data services market, particularly its convergence with other market segments. To this end, we derived the cumulative funding-convergence dynamics matrix, which classifies the converging areas into four quadrants by considering the growth rate of converging segments and the cumulative funding amount. In this way, we can specify converging areas in the satellite data services market that bear potential importance for the creation of new markets. The findings of this study are expected to contribute to the advancement of the satellite data services industry and facilitate the exploration of new market opportunities. Furthermore, they can serve as a valuable reference for policy makers, industry stakeholders, government officials, and researchers involved in the satellite data services industry in capitalizing on the emerging space economy.

Design of Mobility System for Ground Model of Planetary Exploration Rover

  • Kim, Younkyu;Eom, Wesub;Lee, Joo-Hee;Sim, Eun-Sup
    • Journal of Astronomy and Space Sciences
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    • v.29 no.4
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    • pp.413-422
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    • 2012
  • In recent years, a number of missions have been planned and conducted worldwide on the planets such as Mars, which involves the unmanned robotic exploration with the use of rover. The rover is an important system for unmanned planetary exploration, performing the locomotion and sample collection and analysis at the exploration target of the planetary surface designated by the operator. This study investigates the development of mobility system for the rover ground model necessary to the planetary surface exploration for the benefit of future planetary exploration mission in Korea. First, the requirements for the rover mobility system are summarized and a new mechanism is proposed for a stable performance on rough terrain which consists of the passive suspension system with 8 wheeled double 4-bar linkage (DFBL), followed by the performance evaluation for the mechanism of the mobility system based on the shape design and simulation. The proposed mobility system DFBL was compared with the Rocker-Bogie suspension system of US space agency National Aeronautics and Space Administration and 8 wheeled mobility system CRAB8 developed in Switzerland, using the simulation to demonstrate the superiority with respect to the stability of locomotion. On the basis of the simulation results, a general system configuration was proposed and designed for the rover manufacture.

An Analysis on the Change of Smart City Space: Convergence Change of District, Street, Building and Facility (스마트시티 공간의 변화 분석: 지구, 가로, 건물, 시설의 융합 변화)

  • Han, Ju Hyung;Lee, Sang Ho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.5
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    • pp.537-550
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    • 2018
  • The development focus of a smart city has been changed gradually from a physical development aspect to a space development aspect. In a space development aspect, the major application technologies are Environment Technology (ET), Information Technology (IT) and Environment Information Technology. On the other hand, it is unclear if the space convergence in a smart city has been changed by the 3 technologies. Therefore, specific analysis was performed on the convergence change of smart city 4 spaces (District, Street, Building, Facility) using the 3 technologies. The convergence distribution ratio according to the periods (period 1 : 1972~1999, period 2 : 2000~2009, period 3 : 2010~2017) among the spaces, ET (Environment Technology), IT (Information Technology), ET+IT (Environment Information Technology) in a smart city were examined. The smart city was high in the order of 'District (53/43%) - Building (36/29.1%) - Street (22/17.9%) - Facility (12/10.0%)' in the number of applications and ratio of convergence (Technology Convergence) at Period 1 (1972~1999). The smart city was high in the order of 'District (223/32.4%) - Building (197/28.6%) - Street (195/28.3%) - Facility (74/14.8%)' in the number of applications and ratio of convergence (Technology Convergence) at Period 2 (2000~2009). At period 3, the District (467/33%) was also the highest. On the other hand, the street (384/27.4%) was higher than the building (361/25.8%) and facility (188/13.4%) in smart city space. Fourth, the smart city was high in the order of 'District - Building - Street - Facility' in the number of applications and ratio of convergence (Technology Convergence) at Periods 1 (1972~1999) and 2 (2000~2009). In contrast, the average of number was high in the order of 'Building - Street - District - Facility'. At period 3(2010~2017), the number of applications and the ratio of convergence was high 'District - Street - Building - Facility'; the average of number was the same as in period 1 and 2. As a result, smart city space has been changed by the development of macroscopic urban spaces in the initial stage. Since then, district space-centric development and building space are confused with devices/technologies and changed for citizen inflow. The building space has evolved continually and smart city space will be expected to revitalize the street space connecting completed buildings.

CONVERGENCE OF REGULARIZED SEMIGROUPS

  • Lee, Young S.
    • Korean Journal of Mathematics
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    • v.8 no.2
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    • pp.139-146
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    • 2000
  • In this paper, we discuss convergence theorem for contraction C-regularized semigroups. We establish the convergence of the sequence of generators of contraction regularized semigroups in some sense implies the convergence of the sequence of the corresponding contraction regularized semigroups. Under the assumption that R(C) is dense, we show the convergence of generators is implied by the convergence of C-resolvents of generators.

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ON THE STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE SEMIGROUPS IN BANACH SPACES

  • Chang, Shih-Sen;Zhao, Liang Cai;Wu, Ding Ping
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.13-23
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    • 2009
  • Some strong convergence theorems of explicit iteration scheme for asymptotically nonexpansive semi-groups in Banach spaces are established. The results presented in this paper extend and improve some recent results in [T. Suzuki. On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces, Proc. Amer. Math. Soc. 131(2002)2133-2136; H. K. Xu. A strong convergence theorem for contraction semigroups in Banach spaces, Bull. Aust. Math. Soc. 72(2005)371-379; N. Shioji and W. Takahashi. Strong convergence theorems for continuous semigroups in Banach spaces, Math. Japonica. 1(1999)57-66; T. Shimizu and W. Takahashi. Strong convergence to common fixed points of families of nonexpansive mappings, J. Math. Anal. Appl. 211(1997)71-83; N. Shioji and W. Takahashi. Strong convergence theorems for asymptotically nonexpansive mappings in Hilbert spaces, Nonlinear Anal. TMA, 34(1998)87-99; H. K. Xu. Approximations to fixed points of contraction semigroups in Hilbert space, Numer. Funct. Anal. Optim. 19(1998), 157-163.]

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