• Title/Summary/Keyword: Common

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Noninformative priors for the common mean in log-normal distributions

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.6
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    • pp.1241-1250
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    • 2011
  • In this paper, we develop noninformative priors for the log-normal distributions when the parameter of interest is the common mean. We developed Jeffreys' prior, th reference priors and the first order matching priors. It turns out that the reference prior and Jeffreys' prior do not satisfy a first order matching criterion, and Jeffreys' pri the reference prior and the first order matching prior are different. Some simulation study is performed and a real example is given.

Analysis of Effect on the Transient State According to Common Grounding between Underground Transmission Systems and Distribution Systems (지중송전 및 배전계통의 공통접지에 따른 과도상태 영향 분석)

  • Lim, Kwang-Sik;Lee, Jong-Beom
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.740-741
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    • 2007
  • This paper analyses the transient state of underground distribution system against single line to ground fault in underground transmission systems, when underground transmission systems and distribution systems are made of common grounding. Underground transmission systems and distribution systems are modeled by EMTP/ATPDraw. Simulation is carried out considering variation of parameters such as value of common grounding, balance load and unbalance load.

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COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES

  • Sharma, Sushil;Deshpande, Bhavana;Tiwari, Rashmi
    • The Pure and Applied Mathematics
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    • v.15 no.2
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    • pp.135-151
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    • 2008
  • The purpose of this paper is to prove some common fixed point theorems for finite number of discontinuous, noncompatible mappings on non complete Menger spaces. Our results extend, improve and generalize several known results in Menger spaces. We give formulas for total number of commutativity conditions for finite number of mappings.

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Fixed point theorems for fuzzy mappings and applications

  • Lee, Byung-Soo;Cho, Yeol-Je;Jung, Jong-Soo
    • Communications of the Korean Mathematical Society
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    • v.11 no.1
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    • pp.89-108
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    • 1996
  • In this paper we obtain common fixed point theorems for sequences of fuzzy mappings on Menger probabilistic metric spaces, including common fixed point theorems for sequences of multi-valued mappings, which generalize and improve some results of Lee et al. [8] and Chang [2].

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Some Common Fixed Point Theorems using Compatible Maps in Intuitionistic Fuzzy Metric Space

  • Park, Jong-Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.11 no.2
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    • pp.108-112
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    • 2011
  • Kaneko et a1.[4] etc many authors extended with multi-valued maps for the notion of compatible maps in complete metric space. Recently, O'Regan et a1.[5] presented fixed point and homotopy results for compatible single-valued maps on complete metric spaces. In this paper, we will establish some common fixed point theorems using compatible maps in intuitionistic fuzzy metric space.

A NEW ALGORITHM FOR SOLVING MIXED EQUILIBRIUM PROBLEM AND FINDING COMMON FIXED POINTS OF BREGMAN STRONGLY NONEXPANSIVE MAPPINGS

  • Biranvand, Nader;Darvish, Vahid
    • Korean Journal of Mathematics
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    • v.26 no.4
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    • pp.777-798
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    • 2018
  • In this paper, we study a new iterative method for solving mixed equilibrium problem and a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the framework of reflexive real Banach spaces. Moreover, we prove a strong convergence theorem for finding common fixed points which also are solutions of a mixed equilibrium problem.

COMMON FIXED POINT OF GENERALIZED ASYMPTOTIC POINTWISE (QUASI-) NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

  • Saleh, Khairul;Fukhar-ud-din, Hafiz
    • Korean Journal of Mathematics
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    • v.28 no.4
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    • pp.915-929
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    • 2020
  • We prove a fixed point theorem for generalized asymptotic pointwise nonexpansive mapping in the setting of a hyperbolic space. A one-step iterative scheme approximating common fixed point of two generalized asymptotic pointwise (quasi-) nonexpansive mappings in this setting is provided. We obtain ∆-convergence and strong convergence theorems of the iterative scheme for two generalized asymptotic pointwise nonexpansive mappings in the same setting. Our results generalize and extend some related results in the literature.

ON COMMON FIXED POINT THEOREMS OF WEAKLY COMPATIBLE MAPPINGS SATISFYING CONTRACTIVE INEQUALITIES OF INTEGRAL TYPE

  • Feng, Chi;Liu, Na;Shim, Soo Hak;Jung, Chahn Yong
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.2
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    • pp.393-409
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    • 2021
  • Three common fixed point theorems for weakly compatible mappings satisfying three classes of contractive inequalities of integral type are proved. Three examples are included. The results obtained in this paper extend and improve a few results existing in literature.

FIXED POINT THEOREMS IN ORDERED b-METRIC SPACES WITH ALTERNATING DISTANCE FUNCTIONS

  • Bouhafs, Radia;Tallafha, Abdalla Ahmed;Shatanawi, Wasfi
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.3
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    • pp.581-600
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    • 2021
  • In this paper we obtain a unique common fixed point theorem for four self-maps which are involved in (𝜙, 𝜓)-weak contraction of a partially ordered b-metric space. The necessary condition has been given to a space for the existence of an unique common fixed of the maps. And our work changed conditions and nonlinear contraction, and search for the unique common fixed point of the maps.