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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.

EMPLOYING α-ψ-CONTRACTION TO PROVE COUPLED COINCIDENCE POINT THEOREM FOR GENERALIZED COMPATIBLE PAIR OF MAPPINGS ON PARTIALLY ORDERED METRIC SPACES

  • Deshpande, Bhavana;Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.25 no.2
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    • pp.73-94
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    • 2018
  • We introduce some new type of admissible mappings and prove a coupled coincidence point theorem by using newly defined concepts for generalized compatible pair of mappings satisfying ${\alpha}-{\psi}$ contraction on partially ordered metric spaces. We also prove the uniqueness of a coupled fixed point for such mappings in this setup. Furthermore, we give an example and an application to integral equations to demonstrate the applicability of the obtained results. Our results generalize some recent results in the literature.

COMMON FIXED POINT THEOREM FOR MULTIMAPS ON MENGER L-FUZZY METRIC SPACE

  • Deshpande, Bhavana;Chouhan, Suresh
    • The Pure and Applied Mathematics
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    • v.20 no.1
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    • pp.11-23
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    • 2013
  • In this paper, we obtain a common fixed point theorem for multivalued mappings in a complete Menger $\mathcal{L}$-fuzzy metric space. $\mathcal{L}$-fuzzy metric space is a generalization of fuzzy metric spaces and intuitionistic fuzzy metric spaces. We extend and generalize the results of Kubiaczyk and Sharma [24], Sharma, Kutukcu and Rathore [34].

Millimeter-Wave High-Linear CMOS Low-Noise Amplifier Using Multiple-Gate Transistors

  • Kim, Ji-Hoon;Choi, Woo-Yeol;Quraishi, Abdus Samad;Kwon, Young-Woo
    • ETRI Journal
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    • v.33 no.3
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    • pp.462-465
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    • 2011
  • A millimeter-wave (mm-wave) high-linear low-noise amplifier (LNA) is presented using a 0.18 ${\mu}m$ standard CMOS process. To improve the linearity of mm-wave LNAs, we adopted the multiple-gate transistor (MGTR) topology used in the low frequency range. By using an MGTR having a different gate-source bias at the last stage of LNAs, third-order input intercept point (IIP3) and 1-dB gain compression point ($P_{1dB}$) increase by 4.85 dBm and 4 dBm, respectively, without noise figure (NF) degradation. At 33 GHz, the proposed LNAs represent 9.5 dB gain, 7.13 dB NF, and 6.25 dBm IIP3.

Acupuncture point locations in experimental animals, how are they described? (실험동물에서의 취혈(取穴)의 기술(記述)에 관한 연구)

  • Shim, Sung-Youn;Lee, Hyang-Sook
    • Korean Journal of Acupuncture
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    • v.24 no.4
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    • pp.85-98
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    • 2007
  • Objectives : Standardization and clear description of locating acupuncture points guarantees reproducibility and credibility of the results in animal studies of acupuncture points and meridians. In this study, we aimed at analyzing the acupoint description of the previous experimental studies and suggesting guidelines for related journals. Methods : We searched animal studies where acupuncture points were used in Journal of Korean Acupuncture & Moxibustion Society and Journal of Meridian & Acupoint with a limitation of period, from 2002 to 2006. Data on experimental animals, acupuncture points and their descriptions were extracted and put in a predefined form. They were classified as one of the 4 classes; A) descriptions of the acupuncture points present, B) no description of the acupuncture points and only reference provided, C) neither description of the acupuncture points nor reference provided, or D) acupuncture point detector used. Two authors independently extracted and classified the data and the disagreements were resolved by discussion. Experts were invited to rate acupuncture point description validity on a numeric rating scale in the 11-item questionnaire. Results : Two hundred and five studies were identified and classified as follows; A) 32.2% (n=66), B) 7.8% (n=16), C) 51.2% (n=105), and D) 8.8% (n=18). Experts ratings were significantly lower for class C (mean${\pm}$SD, 2.14${\pm}$1.35, 95% CI [1.90, 2.39], P = 0.004 compared with class B, P ${\leq}$ 0.001 compared with class A or C) and no difference was found between classes A, B, and D. Conclusions : Reporting of acupuncture points in experimental animals is poor and validity and reliability of the result from such reporting is hampered. We suggest that journal editors and experts provide guidelines for reporting animal acupuncture points and adopt them into guide for authors for related journals.

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Experimental Verification for Optimal Efficiency Model of Inverter-Fed Induction Motor (인버터 구동 유도 전동기의 최적 효율 모델 확인 실험)

  • 김재우;김병택;권병일
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.53 no.5
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    • pp.277-282
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    • 2004
  • The optimal design of the rotor slot for inverter-fed induction motor was performed. The purpose of the paper is to verify the optimal point by experiment. A sensitivity analysis is performed, and the models near to an optimal point are selected. In the selecting process of models, 2 design variables with high sensitivity are selected out of 5 design variables. On the basis of the selected variables, 2 models near to the optimal point are decided. The tim e-step F.E.A and the experiment are performed. Optimal point and performance improvement of the optimal mode are verified.

COUPLED COINCIDENCE POINT RESULTS FOR GENERALIZED SYMMETRIC MEIR-KEELER CONTRACTION ON PARTIALLY ORDERED METRIC SPACES WITH APPLICATION

  • Deshpande, Bhavana;Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.24 no.2
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    • pp.79-98
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    • 2017
  • We establish a coupled coincidence point theorem for generalized compatible pair of mappings $F,G:X{\times}X{\rightarrow}X$ under generalized symmetric Meir-Keeler contraction on a partially ordered metric space. We also deduce certain coupled fixed point results without mixed monotone property of $F:X{\times}X{\rightarrow}X$. An example supporting to our result has also been cited. As an application the solution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

Corrosion Fatigue Characteristics in the Weld of Multi-Pass Welded A106 Gr B Steel Pipe

  • Bae, Dong-Ho;Kim, Chul-Han
    • Journal of Mechanical Science and Technology
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    • v.18 no.1
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    • pp.114-121
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    • 2004
  • In order to investigate the corrosion fatigue characteristics in the weld of multi-pass welded A 106 Gr B steel pipe, corrosion fatigue tests were performed under the various stress ratios and 3.5 wt% NaCl solution at room temperature. The corrosion fatigue characteristic curves were represented using crack closure concept. The obtained results are as follows : when the load frequency is 1.0 Hz, the crack opening point is transited in the region of $K_{max}$=20∼32 MPaㆍ $m^{1}$2/. In the low stress intensity factor range, the crack opening point is higher than that in air. However, in the high stress intensity factor range, it is lower than that in air. In the cases of 0.1 Hz and 0.01 Hz, the crack opening point gradually decreases to $K_{min}$ with $K_{max}$ increase.rease.

A UGV Hybrid Path Generation Method by using B-spline Curve's Control Point Selection Algorithm (무인 주행 차량의 하이브리드 경로 생성을 위한 B-spline 곡선의 조정점 선정 알고리즘)

  • Lee, Hee-Mu;Kim, Min-Ho;Lee, Min-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.2
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    • pp.138-142
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    • 2014
  • This research presents an A* based algorithm which can be applied to Unmanned Ground Vehicle self-navigation in order to make the driving path smoother. Based on the grid map, A* algorithm generated the path by using straight lines. However, in this situation, the knee points, which are the connection points when vehicle changed orientation, are created. These points make Unmanned Ground Vehicle continuous navigation unsuitable. Therefore, in this paper, B-spline curve function is applied to transform the path transfer into curve type. And because the location of the control point has influenced the B-spline curve, the optimal control selection algorithm is proposed. Also, the optimal path tracking speed can be calculated through the curvature radius of the B-spline curve. Finally, based on this algorithm, a path created program is applied to the path results of the A* algorithm and this B-spline curve algorithm. After that, the final path results are compared through the simulation.