• Title/Summary/Keyword: Common point

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NOTE FOR THE TRIPLED AND QUADRUPLE FIXED POINTS OF THE MIXED MONOTONE MAPPINGS

  • Wu, Jun;Liu, Yicheng
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.3
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    • pp.993-1005
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    • 2013
  • In this paper, to include more generalized cases, the authors present a modified concept for the tripled and quadruple fixed point of the mixed monotone mappings. Also, they investigate the existence and uniqueness of fixed point of the ordered monotone operator with the Matkowski contractive conditions in the partial ordered metric spaces. As the direct consequences, the existence of coupled fixed point, tripled fixed point and quadruple fixed point are explored at the common framework and some previous results in [T. G. Bhaskar and V. Lakshmikan-tham, Fixed point theory in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006), 1379-1393; V. Berinde and M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (2011), no. 15, 4889-4897; E. Karapinar and N. V. Luong, Quadruple fixed point theorems for nonlinear contractions, Computers and Mathematics with Applications (2012), doi:10.1016/j.camwa.2012.02061] are improved. Finally, some fixed point theorems are proved.

A Research on Using Satisfaction and Situation Survey of Common Meal Facilities for Seniors in Rural Areas - Focusing on the Pilot Project of Common Facilities for Rural Seniors from 2014 to 2015- (농촌고령자 공동급식시설의 현황 및 이용 만족도 연구 - 2014~15년 농촌고령자 공동시설지원 시범사업을 중심으로 -)

  • Kim, Seung-Geun
    • Journal of the Korean Institute of Rural Architecture
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    • v.18 no.4
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    • pp.41-51
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    • 2016
  • This The purpose of this study is to evaluate user satisfaction with village bathhouses, selected from a two-year pilot project of common facilities for senior in rural areas from 2014 to 2015. A survey was conducted using a questionnaire to evaluate user satisfaction, and 135 questionnaires were collected from 18 common meal facilities. User satisfaction was evaluated in five categories with a five-point scale: location and spatial composition; emotions and intimacy; safety; nutrition; and maintenance and management. The results are as follows. First, when overall user satisfaction was evaluated on a five-point scale, the average score stood at 4.24 out of five points and 90.03 out of 100 points. These findings suggest that users were generally satisfied with the common meal facilities. Among five categories, scores except safety stood at four points or higher, indicating higher user satisfaction. Second, communal meal in rural areas have been carried out already but the environment for communal meal like cooking equipment, wastewater disposal, and space have been poor. However, the environment is improved through this pilot project, which has a positive effect to user satisfaction. Third, space planning for barrier-free or sanitary in storage of food containers are not adequate, which is necessary to detailed planning and concrete guideline.

Pulse-Width Modulation Strategy for Common Mode Voltage Elimination with Reduced Common Mode Voltage Spikes in Multilevel Inverters with Extension to Over-Modulation Mode

  • Pham, Khoa-Dang;Nguyen, Nho-Van
    • Journal of Power Electronics
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    • v.19 no.3
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    • pp.727-743
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    • 2019
  • This paper presents a pulse-width modulation strategy to eliminate the common mode voltage (CMV) with reduced CMV spikes in multilevel inverters since a high CMV magnitude and its fast variations dv/dt result in bearing failure of motors, overvoltage at motor terminals, and electromagnetic interference (EMI). The proposed method only utilizes the zero CMV states in a space vector diagram and it is implemented by a carrier-based pulse-width modulation (CBPWM) method. This method is generalized for odd number levels of inverters including neutral-point-clamped (NPC) and cascaded H-bridge inverters. Then it is extended to the over-modulation mode. The over-modulation mode is implemented by using the two-limit trajectory principle to maintain linear control and to avoid look-up tables. Even though the CMV is eliminated, CMV spikes that can cause EMI and bearing current problems still exist due to the deadtime effect. As a result, the deadtime effect is analyzed. By taking the deadtime effect into consideration, the proposed method is capable of reducing CMV spikes. Simulation and experimental results verify the effectiveness of the proposed strategy.

DC-Link Voltage Balance Control Using Fourth-Phase for 3-Phase 3-Level NPC PWM Converters with Common-Mode Voltage Reduction Technique

  • Jung, Jun-Hyung;Park, Jung-Hoon;Kim, Jang-Mok;Son, Yung-Deug
    • Journal of Power Electronics
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    • v.19 no.1
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    • pp.108-118
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    • 2019
  • This paper proposes a DC-link voltage balance controller using the fourth-phase of a three-level neutral-point clamped (NPC) PWM converter with medium vector selection (MVS) PWM for common-mode voltage reduction. MVS PWM makes the voltage reference by synthesizing the voltage vectors that cannot generate common-mode voltage. This PWM method is effective for reducing the EMI noise emitted from converter systems. However, the DC-link voltage imbalance problem is caused by the use of limited voltage vectors. Therefore, in this paper, the effect of MVS PWM on the DC-link voltage of a three-level NPC converter is analyzed. Then a proportional-derivative (PD) controller for the DC-link voltage balance is designed from the DC-link modeling. In addition, feedforward compensation of the neutral point current is included in the proposed PD controller. The effectiveness of the proposed controller is verified by experimental results.

A HYBRID PROJECTION METHOD FOR COMMON ZERO OF MONOTONE OPERATORS IN HILBERT SPACES

  • Truong, Minh Tuyen
    • Communications of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.447-456
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    • 2017
  • The purpose of this paper is to introduce some strong convergence theorems for the problem of finding a common zero of a finite family of monotone operators and the problem of finding a common fixed point of a finite family of nonexpansive in Hilbert spaces by hybrid projection method.

Cancellation of Common-Mode Voltages in Three-Level NPC Inverters with Auxiliary Leg (3-레벨 NPC 인버터에서 보조 레그를 이용한 공통 모드 전압 제거)

  • Le, Quoe Anh;Le, Dong-Choon
    • Proceedings of the KIPE Conference
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    • 2016.07a
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    • pp.487-488
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    • 2016
  • In this paper, a new active circuit for common-mode voltage (CMV) cancellation in three-level NPC (neutral-point clamped) inverters is proposed, which can avoid the saturation of the common-mode transformer (CMT). The proposed circuit utilizes an additional three-level leg to produce the compensating CMV of the NPC inverters, which eliminates the CMV of the inverter through the CMT.

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NEW ITERATIVE METHODS FOR FINDING A COMMON ZERO OF A FINITE FAMILY OF MONOTONE OPERATORS IN HILBERT SPACES

  • Kim, Jong Kyu;Tuyen, Truong Minh
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1347-1359
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    • 2017
  • The purpose of this paper is to give some new iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces. We also give the applications of the obtained result for the convex feasibility problem and constrained convex optimization problem in Hilbert spaces.

STRONG CONVERGENCE OF A METHOD FOR VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS OF A NONEXPANSIVE SEMIGROUP IN HILBERT SPACES

  • Buong, Nguyen
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.61-74
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    • 2011
  • In this paper, we introduce a new iteration method based on the hybrid method in mathematical programming and the descent-like method for finding a common element of the solution set for a variational inequality and the set of common fixed points of a nonexpansive semigroup in Hilbert spaces. We obtain a strong convergence for the sequence generated by our method in Hilbert spaces. The result in this paper modifies and improves some well-known results in the literature for a more general problem.

COMMON FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS BY ONE-STEP ITERATION PROCESS IN CONVEX METRIC SPACES

  • Abbas, Mujahid;Khan, Safeer Hussain;Kim, Jong-Kyu
    • East Asian mathematical journal
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    • v.26 no.5
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    • pp.693-702
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    • 2010
  • We study one-step iteration process to approximate common fixed points of two nonexpansive mappings and prove some convergence theorems in convex metric spaces. Using the so-called condition (A'), the convergence of iteratively defined sequences in a uniformly convex metric space is also obtained.

CONVERGENCE TO COMMON FIXED POINTS FOR A FINITE FAMILY OF GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • Saluja, G.S.
    • East Asian mathematical journal
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    • v.29 no.1
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    • pp.23-37
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    • 2013
  • The purpose of this paper is to study an implicit iteration process with errors and establish weak and strong convergence theorems to converge to common fixed points for a finite family of generalized asymptotically quasi-nonexpansive mappings in the framework of uniformly convex Banach spaces. Our results extend, improve and generalize some known results from the existing literature.