• Title/Summary/Keyword: Coincidence

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REMARKS ON CERTAIN NOTED COINCIDENCE THEOREMS: A UNIFYING AND ENRICHING APPROACH

  • Alam, Aftab;Hasan, Mohd.;Imdad, Mohammad
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.5
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    • pp.1059-1075
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    • 2021
  • In this paper, we unify and enrich the well-known classical metrical coincidence theorems on a complete metric space due to Machuca, Goebel and Jungck. We further extend our newly proved results on a subspace Y of metric space X, wherein X need not be complete. Finally, we slightly modify the existing results involving (E.A)-property and (CLRg)-property and apply these results to deduce our coincidence and common fixed point theorems.

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.

COINCIDENCE POINT AND FIXED POINT THEOREMS IN PARTIAL METRIC SPACES FOR CONTRACTIVE TYPE MAPPINGS WITH APPLICATIONS

  • SALUJA, G.S.;KIM, JONG KYU;LIM, WON HEE
    • Journal of applied mathematics & informatics
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    • v.40 no.5_6
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    • pp.1053-1071
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    • 2022
  • The purpose of this article is to establish some fixed point theorems, a common fixed point theorem and a coincidence point theorem via contractive type condition in the framework of complete partial metric spaces and give some examples in support of our results. As an application to the results, we give some fixed point theorems for integral type contractive conditions. The results presented in this paper extend and generalize several results from the existing literature.

COINCIDENCE POINT RESULTS FOR (𝜙, 𝜓)-WEAK CONTRACTIVE MAPPINGS IN CONE 2-METRIC SPACES

  • Islam, Ziaul;Sarwar, Muhammad;Tunc, Cemil
    • Honam Mathematical Journal
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    • v.43 no.2
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    • pp.305-323
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    • 2021
  • In the present paper, utilizing (𝜙, 𝜓)-weak contractive conditions, unique fixed point and some coincidence point results have been studied in the context of cone 2- metric spaces. Also, our obtained results generalize some results from cone metric space to cone 2-metric space. For the authenticity of the presented work, a non trivial example is also provided.

COINCIDENCE POINT RESULTS UNDER GERAGHTY-TYPE CONTRACTION

  • Amrish Handa
    • The Pure and Applied Mathematics
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    • v.31 no.3
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    • pp.325-336
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    • 2024
  • The main aim of this research article is to establish some coincidence point theorem for G-non-decreasing mappings under Geraghty-type contraction on partially ordered metric spaces. Furthermore, we derive some multidimensional results with the help of our unidimensional results. Our results improve and generalize various well-known results in the literature.

A Study of Business Cycle Index Using Dynamic Factor Model (동태적 요인모형을 이용한 경기동행지수 개발에 관한 연구)

  • Na, In-Gang;Sonn, Yang-Hoon
    • Environmental and Resource Economics Review
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    • v.9 no.5
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    • pp.903-924
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    • 2000
  • This paper examines the alternative method to measure the state of overall economic activity. The macroeconomic variables, used for business cycle, take more than a month after a period for collection and aggregation. The electricity generation data is compiled in mechanical ways just after the period. Based on this fact, we develop the two stage estimation method for coincident economic indicators in order to detect the business cycle in an earlier period, using Stock-Watson's Dynamic Factor Model. Using monthly data from 1970 to 1999, it is found that the experimental coincidence economic indicators are well-fitted to data and also that the estimates of two stage estimation method have good explanatory power, equivalent to the experimental coincidence economic indicators. While the RMSE of coincidence economic indicators is found to be 1.27%, that of the experimental coincidence economic indicators is found to be 1.31% and that of the two stage estimation method is around 1.44%. If we take consideration into the fact that it measures the business cycle in one month earlier, we come to the conclusion that the two stage estimation is of great use.

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Effects of noise on coincidence detection in an optical system with entangled state photons (얽힘상태 광을 이용한 광학계에서 잡광이 동시계수에 미치는 영향)

  • 김헌오;고정훈;박구동;엄영호;김태수
    • Korean Journal of Optics and Photonics
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    • v.12 no.4
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    • pp.263-269
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    • 2001
  • The influences of background and environmental noise on coincidence detection are investigated with entangled photons produced by parametric down-conversion process. When the down-converted photons are mixed with thermal light, the coincidence rate did not vary with increasing noise level because the accidental coincidences are discriminated at the short resolving time window. The entangled photon source and the coincidence technique can effectively be used for a noise-free communication channel in the new field of quantum information transmission and processing. ssing.

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A Rational Development Way of Performance Evaluation Measures for the Informatization Program by means of the Coincidence Analysis (부합성 분석을 이용한 정보화지원사업 성과평가지표의 합리적 도출 방안)

  • Choi Jeom-Ki;Park Il-Kyu;Kim Sang-Hoon
    • Journal of Information Technology Applications and Management
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    • v.13 no.3
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    • pp.145-179
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    • 2006
  • The measurement of informatization program effectiveness continues to be a central concern of both academics and practitioners. However, most studies of it have been inclined too heavily toward testing validity and reliability of evaluation measure to strengthen the theoretical rigor. Drawbacks of this approach have been pointed out as being unsuitable for evaluating the effectiveness of informatization program due to lack of practical relevance. The paper comprises four sections to solve the problem. 1) Through literature review of theoretical conceptual models in IS effectiveness and the domestic and foreign cases on informatization program, we establish the evaluation framework which consists of evaluation phases, 6 evaluation areas, and 22 evaluation items, and developed evaluation measures of each items. 2) Different researchers have addressed different aspects of attribute of measure. With comparing them to each other, 3 mutually exclusive criteria on coincidence analysis(usability of measurement. reliability of measurement. and validity of content) are identified. 3) Data are gathered from respondents in informatizaiton program-related organizations such as policy agency, management agency, support agency, and recipient agency. 4) The degree of coincidence of each evaluation measure are analyzed by course of an coincidence analysis procedure, which includes the reliability test, arithmetical test, and criteria validity test. The academic implication of this study is that researchers can gain an insight into the coincidence analysis to approach the problem of deciding on an indicator of performance for informatization program. There is also practical implication for applying the potential means of improving the practical relevance of conducting evaluating the informatization program.

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