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STRONG CONVERGENCE THEOREM OF FIXED POINT FOR RELATIVELY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Qin, Xiaolong;Kang, Shin Min;Cho, Sun Young
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.3
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    • pp.327-337
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    • 2008
  • In this paper, we prove strong convergence theorems of Halpern iteration for relatively asymptotically nonexpansive mappings in the framework of Banach spaces. Our results extend and improve the recent ones announced by [C. Martinez-Yanes, H. K. Xu, Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006), 2400-2411], [X. Qin, Y. Su, Strong convergence theorem for relatively nonexpansive mappings in a Banach space, Nonlinear Anal. 67 (2007), 1958-1965] and many others.

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THE SHRINKING PROJECTION METHODS FOR HEMI-RELATIVELY NONEXPANSIVE MAPPINGS, VARIATIONAL INEQUALITIES AND EQUILIBRIUM PROBLEMS

  • Wang, Zi-Ming;Kang, Mi Kwang;Cho, Yeol Je
    • Communications of the Korean Mathematical Society
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    • v.28 no.1
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    • pp.191-207
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    • 2013
  • In this paper, we introduce the shrinking projection method for hemi-relatively nonexpansive mappings to find a common solution of variational inequality problems and equilibrium problems in uniformly convex and uniformly smooth Banach spaces and prove some strong convergence theorems to the common solution by using the proposed method.

Strong Convergence of Modified Iteration Processes for Relatively Nonexpansive Mappings

  • Kim, Tae-Hwa;Lee, Hwa-Jung
    • Kyungpook Mathematical Journal
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    • v.48 no.4
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    • pp.685-703
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    • 2008
  • Motivated and inspired by ideas due to Matsushida and Takahashi [J. Approx. Theory 134(2005), 257-266] and Martinez-Yanes and Xu [Nonlinear Anal. 64(2006), 2400-2411], we prove some strong convergence theorems of modified iteration processes for a pair (or finite family) of relatively nonexpansive mappings in Banach spaces, which improve and extend the corresponding results of Matsushida and Takahashi and Martinez-Yanes and Xu in Banach and Hilbert spaces, repectively.

An Analysis of Household Portfolio according tow Wealth Levels (자산계층별 가계 포트폴리오 분석)

  • 최현자
    • Journal of Families and Better Life
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    • v.17 no.4
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    • pp.193-206
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    • 1999
  • This study analyzed the household portfolio according to wealth levels using a survey data of 1997 Korea Household Panel Study. The major findings of this study are as follows: (1) A household in high wealth level has invested relatively large proportion of his asset into real estate (2) A household in middle wealth level has invested relatively large proportion of his asset into risky financial asset(3) A household in low wealth level has invested relatively large proportion of his asset into secure financial asset. These findings accorded with risky pyramid model.

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STRONG CONVERGENCE OF MODIFIED ISHIKAWA ITERATION FOR TWO RELATIVELY NONEXPANSIVE MAPPINGS IN A BANACH SPACE

  • Liu, Ying;Wang, Xian;He, Zhen
    • East Asian mathematical journal
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    • v.25 no.1
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    • pp.97-105
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    • 2009
  • In this paper, we prove a strong convergence theorem for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the modified Ishikawa iteration method. Our results improved and extend the corresponding results announced by many others.

Technological Difficulty, Technological Spillover, and Private Incentive for Cooperative R&D (기술개발의 난이도와 기술적 파급효과가 기업의 공동연구개발 선호에 미치는 영향 -비용분담형 공동연구개발과 연구배증형 공동연구개발간 기업의 선호조건 비교-)

  • 유평일;최상채;임광선
    • Proceedings of the Technology Innovation Conference
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    • 1996.12a
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    • pp.141-153
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    • 1996
  • Firms prefer in some specific conditions cooperative R&D to non-cooperative for developing technology. Previous studies on the conditions show firms want to choose cost-sharing type of cooperative R&D (the CS-RJV) rather than non-cooperative one when target technology is either 'relatively easy'or 'relatively difficult', and to join multiple-research type of cooperation (the MR-RJV) than to compete each other if technology is only 'relatively easy'. However, by introducing technological spillover as well as difficult of technology, only if there shown that this seemingly contrasted phenomenon almost disappears : the MR-RJV can i3e also preferred by firms even in case of 'relatively difficult'technology only if there exists some extent of a technological spillover.

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Torque ripple reduction in DTC of induction motor driven by 3-level inverter with low switching frequency (3레벨 인버터로 구동되는 유도전동기 직접토크제어의 낮은 스위칭 주파수에서의 토크 리플 저감법)

  • 송중호
    • Proceedings of the KIPE Conference
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    • 2000.07a
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    • pp.203-206
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    • 2000
  • This paper presents a torque ripple reduction technique of direct torque control(DTC) for high power induction motors driven by 3-level inverters with the inverter switching frequency limited around 0.5-1kHz level. It is noted that conventional DTC algorithms to reduce torque ripple are devised for applications with relatively high switching frequency above 2-3kHz. A new DTC algorithms especially for low switching frequency inverter system illustrates relatively reduced torque ripple are devised for applications with relatively high switching frequency above 2-3kHz. Anew DTC algorithm especially for low switching frequency inverter system illustrates relatively reduced torque ripple characteristics Simulation and experimental results show the effectiveness of the proposed control algorithm

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A Study on the Post-brand Attachment Pressure Reception Behavior of Consumers

  • LEE, Jaemin
    • Journal of Wellbeing Management and Applied Psychology
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    • v.2 no.2
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    • pp.13-19
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    • 2019
  • This study is about pressure-accepting behavior of consumers attached to brands. Previous studies of the situation focused on time pressure and scarcity pressure, focusing on scarcity. The results of the study are as follows. First, consumers attached to brands were found to be relatively blunt in time pressures. This indicates that brands of consumers are attached to do not buy on impulse because of time pressure. Second, consumers attached to brands were found to be relatively under social pressure. This indicates that consumers who are attached to the brand do not buy with social pressures such as quasi-family groups. Third, consumers attached to brands were found to be relatively sensitive to scarcity pressures. Thus, a quantity-limited marketing strategy is generally more effective for consumers with high marketing effectiveness but high brand attachment. Fourth, unlike the one presented, consumers attached to the brand were found to be relatively insensitive to place pressure.

Strong Convergence of Modified Iteration Processes for Relatively Weak Nonexpansive Mappings

  • Boonchari, Daruni;Saejung, Satit
    • Kyungpook Mathematical Journal
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    • v.52 no.4
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    • pp.433-441
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    • 2012
  • We adapt the concept of shrinking projection method of Takahashi et al. [J. Math. Anal. Appl. 341(2008), 276-286] to the iteration scheme studied by Kim and Lee [Kyungpook Math. J. 48(2008), 685-703] for two relatively weak nonexpansive mappings. By letting one of the two mappings be the identity mapping, we also obtain strong convergence theorems for a single mapping with two types of computational errors. Finally, we improve Kim and Lee's convergence theorem in the sense that the same conclusion still holds without the uniform continuity of mappings as was the case in their result.