• Title/Summary/Keyword: Liu Kang

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NECESSARY AND SUFFICIENT CONDITIONS FOR CONVERGENCE OF ISHIKAWA ITERATIVE SCHEMES WITH ERRORS TO φ-HEMICONTRACTIVE MAPPINGS

  • Liu, Seqing;Kim, Jong-Kyu;Kang, Shin-Min
    • Communications of the Korean Mathematical Society
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    • v.18 no.2
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    • pp.251-261
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    • 2003
  • The purpose of this paper is to establish the necessary and sufficient conditions which ensure the strong convergence of the Ishikawa iterative schemes with errors to the unique fixed point of a $\Phi$-hemicontractive mapping defined on a nonempty convex subset of a normed linear space. The results of this paper extend substantially most of the recent results.

ON GENERALIZED NONLINEAR QUASI-VARIATIONAL-LIKE INCLUSIONS DEALING WITH (h,η)-PROXIMAL MAPPING

  • Liu, Zeqing;Chen, Zhengsheng;Shim, Soo-Hak;Kang, Shin-Min
    • Journal of the Korean Mathematical Society
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    • v.45 no.5
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    • pp.1323-1339
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    • 2008
  • In this paper, a new class of $(h,{\eta})$-proximal for proper functionals in Hilbert spaces is introduced. The existence and Lip-schitz continuity of the $(h,{\eta})$-proximal mappings for proper functionals are proved. A class of generalized nonlinear quasi-variational-like inclusions in Hilbert spaces is introduced. A perturbed three-step iterative algorithm with errors for the generalized nonlinear quasi-variational-like inclusion is suggested. The existence and uniqueness theorems of solution for the generalized nonlinear quasi-variational-like inclusion are established. The convergence and stability results of iterative sequence generated by the perturbed three-step iterative algorithm with errors are discussed.

COMMON FIXED POINT THEOREMS FOR CONTRACTIVE TYPE MAPPINGS AND THEIR APPLICATIONS IN DYNAMIC PROGRAMMING

  • Liu, Zeqing;Wang, Lili;Kim, Hyeong-Kug;Kang, Shin-Min
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.573-585
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    • 2008
  • A few sufficient conditions for the existence and uniqueness of fixed point and common fixed point for certain contractive type mappings in complete metric spaces are provided. Several existence and uniqueness results of solution and common solution for some functional equations and system of functional equations in dynamic programming are discussed by using the fixed point and common fixed point theorems presented in this paper.

Cooperative and Competitive Effect in Heterogeneous Networks of Healthcare System

  • Liu, Xiaoshuang;Kang, Guixia;Zhang, Ningbo;Guo, Yanyan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.11
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    • pp.4405-4418
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    • 2015
  • Different network provides different service. To maximize the profit, heterogeneous networks form a whole, which may either compete or cooperate with each other. In this paper, the healthcare monitor network architecture is introduced to build the competitive and cooperative mechanisms of heterogeneous networks which contain three networks, namely, cellular network, WLAN and WMAN. This paper considers the natural growth rate of the network with competitive and cooperative effects. Then, the stability of the proposed model and its equilibrium points are analyzed by the ordinary differential principle. Finally, simulation results show that the natural growth rate cannot increase the profit of the network, but effective cooperative among heterogeneous networks can increase the profit of each network, and competitive may decrease the profit of each network.

Performance Improvement of Iterative Demodulation and Decoding for Spatially Coupling Data Transmission by Joint Sparse Graph

  • Liu, Zhengxuan;Kang, Guixia;Si, Zhongwei;Zhang, Ningbo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.12
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    • pp.5401-5421
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    • 2016
  • Both low-density parity-check (LDPC) codes and the multiple access technique of spatially coupling data transmission (SCDT) can be expressed in bipartite graphs. To improve the performance of iterative demodulation and decoding for SCDT, a novel joint sparse graph (JSG) with SCDT and LDPC codes is constructed. Based on the JSG, an approach for iterative joint demodulation and decoding by belief propagation (BP) is presented as an exploration of the flooding schedule, and based on BP, density evolution equations are derived to analyze the performance of the iterative receiver. To accelerate the convergence speed and reduce the complexity of joint demodulation and decoding, a novel serial schedule is proposed. Numerical results show that the joint demodulation and decoding for SCDT based on JSG can significantly improve the system's performance, while roughly half of the iterations can be saved by using the proposed serial schedule.

Legibility of Electronic Paper

  • Jeng, Shie-Chang;Lin, Yen-Rong;Liu, Kang-Hung;Liao, Chi-Chang;Wen, Chao-Hua;Chao, Chih-Yu;Shieh, Kong-King
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07a
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    • pp.817-820
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    • 2005
  • Legibility of electronic paper was evaluated by using the method of letter-search task and subjective visual comfort scaling. The results show that legibility depends on the illumination level, and conventional paper has a higher visual comfort rating than electronic paper although they have the similar performance in the letter-search task.

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Wide Viewing Angle Flexible Color Liquid Crystal Display

  • Liu, Kang-Hung;Lin, Yan-Rung;Chang, Ku-Hsien;Liao, Chi-Chang
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07a
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    • pp.357-360
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    • 2005
  • A novel wide viewing angle flexible liquid crystal display will be demonstrated. The crossed matrix-type micro-cell structure was adopted in this design. The LC domains were divided into four different tilted directions by the combination effect of pixel fringe field and crossed matrix type micro-cell. It can create four domains without rubbing process and form the cell gap without spacer. For flexible color fabrication, a novel inkjet printing technology is adopted. This cost effective wide viewing angle color flexible LCD technology can be a good solution for high performance flexible LCD.

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Study on the Recovery of Polymeric Raw-materials from Waste Polystyrene by the Microwave Thermal Decomposition (마이크로웨이브 열분해를 이용한 폴리스티렌으로부터의 고분자 원료 물질의 회수에 관한 연구)

  • Kang, Tae-Won;Liu, Xiao-Yun;Hwang, Taek-Sung
    • Proceedings of the Korean Institute of Resources Recycling Conference
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    • 2003.10a
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    • pp.190-195
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    • 2003
  • A novel microwave-induced pyrolysis of polystyrene in motor oil was performed using a quartz tube reactor with silicon carbide as the microwave absorbent. Different pyrolysis conditions were investigated, such as time range from 30 minutes to 1 hour and power range from 180 to 250 watt. The distillate components were analyzed with GC-MS, and styrene, 1-methyl styrene, toluene, ethyl benzene were the four main products. Among these, styrene took over 70 percentages. Temperature of the complete pyrolysis using microwave was much lower than that of conventional thermal pyrolysis method.

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A SYSTEM OF VARIATIONAL INCLUSIONS IN BANACH SPACES

  • Liu, Zeqing;Zhao, Liangshi;Hwang, Hong-Taek;Kang, Shin-Min
    • East Asian mathematical journal
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    • v.26 no.5
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    • pp.681-691
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    • 2010
  • A system of variational inclusions with (A, ${\eta}$, m)-accretive operators in real q-uniformly smooth Banach spaces is introduced. Using the resolvent operator technique associated with (A, ${\eta}$, m)-accretive operators, we prove the existence and uniqueness of solutions for this system of variational inclusions and propose a Mann type iterative algorithm for approximating the unique solution for the system of variational inclusions.

Effect of Grain Boundary Modification on the Microstructure and Magnetic Properties of HDDR-treated Nd-Fe-B Powders

  • Liu, Shu;Kang, Nam-Hyun;Yu, Ji-Hun;Kwon, Hae-Woong;Lee, Jung-Goo
    • Journal of Magnetics
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    • v.21 no.1
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    • pp.51-56
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    • 2016
  • The microstructure and magnetic properties of HDDR-treated powders after grain boundary diffusion process (GBDP) with Nd-Cu alloy at different temperatures have been studied. The variation of GBDP temperature had multifaceted influences on the HDDR-treated powders involving the microstructure, phase composition and magnetic performance. An enhanced coercivity of 16.9 kOe was obtained after GBDP at $700^{\circ}C$, due to the modified grain boundary with fine and continuous Nd-rich phase. However, GBDP at lower or higher temperature resulted in poor magnetic properties because of insufficient microstructural modification. Especially, the residual hydrogen induced phenomenon during GBDP strongly depended on the GBDP temperature.