• Title/Summary/Keyword: Common point

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SOME COINCIDENCE POINT THEOREMS FOR PREŠIĆ-ĆIRIĆ TYPE CONTRACTIONS

  • Khan, Qamrul Haq;Sk, Faruk
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.5
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    • pp.1091-1104
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    • 2021
  • In this paper, we prove some coincidence point theorems for mappings satisfying nonlinear Prešić-Ćirić type contraction in complete metric spaces as well as in ordered metric spaces. As a consequence, we deduce corresponding fixed point theorems. Further, we give some examples to substantiate the utility of our results.

APPLICATION OF CONTRACTION MAPPING PRINCIPLE IN PERIODIC BOUNDARY VALUE PROBLEMS

  • Amrish Handa
    • The Pure and Applied Mathematics
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    • v.30 no.3
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    • pp.289-307
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    • 2023
  • We prove some common fixed point theorems for β-non-decreasing mappings under contraction mapping principle on partially ordered metric spaces. We study the existence of solution for periodic boundary value problems and also give an example to show the degree of validity of our hypothesis. Our results improve and generalize various known results.

A FIXED POINT THEOREM ON PARTIAL METRIC SPACES SATISFYING AN IMPLICIT RELATION

  • Chang Il Kim;Gil Jun Han
    • The Pure and Applied Mathematics
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    • v.30 no.1
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    • pp.25-34
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    • 2023
  • Popa [14] proved the common fixed point theorem using implicit relations. Saluja [17] proved a fixed point theorem on complete partial metric spaces satisfying an implicit relation. In this paper, we prove a fixed point theorem on complete partial metric space satisfying another implicit relation.

IMPLICIT ITERATION PROCESS FOR COMMON FIXED POINTS OF AN INFINITE FAMILY OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES

  • Chang, Shih-Sen;Cho, Yeol-Je;Kim, Jong-Kyu
    • Communications of the Korean Mathematical Society
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    • v.25 no.4
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    • pp.571-581
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    • 2010
  • Some convergence theorems for approximating to a common fixed point of an infinite family of strictly pseudocontractive mappings of Browder-Petryshyn type are proved in the setting of Banach spaces by using a new composite implicit iterative process with errors. The results presented in the paper generalize and improve the main results of Bai and Kim [1], Gu [4], Osilike [5], Su and Li [7], and Xu and Ori [8].

Common-Mode Voltage Elimination for Medium-Voltage Three-Level NPC Inverters Based on an Auxiliary Circuit

  • Le, Quoc Anh;Lee, Sangmin;Lee, Dong-Choon
    • Journal of Power Electronics
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    • v.16 no.6
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    • pp.2076-2084
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    • 2016
  • In this paper, a novel scheme to eliminate common-mode voltage (CMV) is proposed for three-level neutral-point clamped (NPC) inverters. In the proposed scheme, a low-power full-bridge converter is utilized to produce compensatory voltage for CMV, which is injected into an NPC inverter through a single-phase four-winding transformer. With the proposed circuit, the power range for applications is not limited, and the maximum modulation index of the inverter is not reduced. These features are suitable for high-power medium-voltage machine drives. The effectiveness of the proposed method is verified by simulation and experimental results.

Carrier Based LFCPWM for Leakage Current Reduction and NP Current Control in 3-Phase 3-Level Converter (3상 3-레벨 컨버터의 누설전류 저감과 NP 전류 제어를 위한 캐리어 기반 LFCPWM)

  • Lee, Eun-Chul;Choi, Nam-Sup
    • The Transactions of the Korean Institute of Power Electronics
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    • v.27 no.5
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    • pp.446-454
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    • 2022
  • This study proposes a carrier-based pulse width modulation (PWM) method for leakage current reduction and neutral point (NP) current control in a three-phase three-level converter, which is a carrier-based PWM version of the previously proposed low-frequency common mode voltage PWM. Three groups of space vectors with the same common mode voltage are used. When the averaged NP current needs to be positive or negative, the specific groups are employed to produce low-frequency common mode voltages. The validity of the proposed PWM method is verified through experiments.

User Evaluation of Common Spaces in Cultural Facilities in Local Area - From the Universal Design Point of View - (지역문화시설의 공용공간 디자인에 대한 사용자 평가 - 유니버설 디자인 관점에서 -)

  • Oh, Chan-Ohk
    • Korean Institute of Interior Design Journal
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    • v.20 no.6
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    • pp.53-61
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    • 2011
  • As the standard of living has raised and the local self-governing body has enforced, cultural facilities have been increased in local areas. These cultural facilities should be designed to consider various users. However, most facilities were designed to focus on size or visual expressions. Therefore, this study was intended to evaluate common spaces of two cultural centers in local area from the universal design point of view. Two cultural centers located in large apartment complex were selected. The evaluating tool consisted of 46 elements related to universal design. The common space were pathway to entrance, parking lot, entrance, all over building, corridor, and restroom. Each 100 users of these two cultural centers evaluated them using by 5-point Likert scale. The results were as follows; The users rated them positively, but not highly. This means that some improvement were needed. Generally, the consideration for upgrading the quality of design such as material, pattern and color needed, and for various users including wheelchair users and seniors were needed. Also, when considering the users' behavior pattern and purposes, installing canopy over entrance, and providing seating places at corridor or pathway were needed.

Computation of Reusable Points in Incremental LL(1) Parsing (점진적 LL(1) 구문분석에서의 재사용 시점의 계산)

  • Lee, Gyung-Ok
    • Journal of KIISE:Software and Applications
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    • v.37 no.11
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    • pp.845-850
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    • 2010
  • Incremental parsing has been developed to reuse the parse result of the original string during the parsing of a new string. The previous incremental LL(1) parsing methods precomputed the reusable point information before parsing and used it during parsing. This paper proposes an efficient reusable point computation by factoring the common part of the computation. The common symbol storing method and the distance storing method were previously suggested to find the reusable point, and by combining the methods, this paper gives the storing method of the distance to common symbols. Based on it, an efficient incremental LL(1) parser is constructed.

CMP cross-correlation analysis of multi-channel surface-wave data

  • Hayashi Koichi;Suzuki Haruhiko
    • Geophysics and Geophysical Exploration
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    • v.7 no.1
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    • pp.7-13
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    • 2004
  • In this paper, we demonstrate that Common Mid-Point (CMP) cross-correlation gathers of multi-channel and multi-shot surface waves give accurate phase-velocity curves, and enable us to reconstruct two-dimensional (2D) velocity structures with high resolution. Data acquisition for CMP cross-correlation analysis is similar to acquisition for a 2D seismic reflection survey. Data processing seems similar to Common Depth-Point (CDP) analysis of 2D seismic reflection survey data, but differs in that the cross-correlation of the original waveform is calculated before making CMP gathers. Data processing in CMP cross-correlation analysis consists of the following four steps: First, cross-correlations are calculated for every pair of traces in each shot gather. Second, correlation traces having a common mid-point are gathered, and those traces that have equal spacing are stacked in the time domain. The resultant cross-correlation gathers resemble shot gathers and are referred to as CMP cross-correlation gathers. Third, a multi-channel analysis is applied to the CMP cross-correlation gathers for calculating phase velocities of surface waves. Finally, a 2D S-wave velocity profile is reconstructed through non-linear least squares inversion. Analyses of waveform data from numerical modelling and field observations indicate that the new method could greatly improve the accuracy and resolution of subsurface S-velocity structure, compared with conventional surface-wave methods.