• Title/Summary/Keyword: Common

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COMMON STATIONARY POINTS FOR CONTRACTIVE TYPE MULTIVALUED MAPPINGS

  • Kang, Shin Min;Jia, Ming;Liu, Zeqing;Kwun, Young Chel
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.375-382
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    • 2009
  • Several common stationary point theorems for two classes of contractive type multivalued mappings in a complete bounded metric space are given. The results presented in this paper generalize and extend some known results in literature.

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System Reliability Estimation in Bivariate Pareto Model Affected by Common Stress : Bivariate Random Censored Data Case

  • Cho, Jang-Sik
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.791-799
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    • 2005
  • We consider two components parallel system in which the lifetimes have the bivariate Pareto model with bivariate random censored data. We assume that bivariate Pareto model is affected by common stress which is independent of the lifetimes of the components. We obtain estimators for the system reliability based on likelihood function and relative frequency. Also we construct approximated confidence intervals for the reliability based on maximum likelihood estimator and relative frequency estimator, respectively. Finally we present a numerical study.

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Noninformative Priors for the Common Scale Parameter in the Inverse Gaussian Distributions

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.4
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    • pp.981-992
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    • 2004
  • In this paper, we develop the noninformative priors for the common scale parameter in the inverse gaussian distributions. We developed the first and second order matching priors. Next we revealed that the second order matching prior satisfies a HPD matching criterion. Also we showed that the second order matching prior matches alternative coverage probabilities up to the second order. It turns out that the one-at-a-time reference prior satisfies a second order matching criterion. Some simulation study is performed.

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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.

A COMMON FIXED POINT RESULT FOR A (${\psi}$, ${\varphi}$)-WEAK CONTRACTIVE CONDITION TYPE

  • Aydi, Hassen
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.809-820
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    • 2012
  • We establish a coincidence and a common fixed point result for four mappings involving a (${\psi}$, ${\varphi}$)-weak contractive condition type on a complete metric space. We take on ${\psi}$ and ${\varphi}$ the same conditions given by Popescu [Fixed points for (${\psi}$, ${\varphi}$)-weak contractions, Appl. Math. Lett. 24 (2011), 1-4].

SOME COMMON FIXED POINT THEOREMS FOR GENERALIZED f-WEAKLY CONTRACTIVE MAPPINGS

  • Chandok, Sumit
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.257-265
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    • 2011
  • In this paper, we first prove a common fixed point theorem for generalized nonlinear contraction mappings in complete metric spaces there by generalizing and extending some known results. Then we present this result in the context of ordered metric spaces by using monotone non-decreasing mapping.

COMMON FIXED POINT THEOREMS FOR L-FUZZY MAPPINGS IN b-METRIC SPACES

  • ALI, JAVID;AHMED, M.A.;NAFADI, H.A.
    • Journal of applied mathematics & informatics
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    • v.35 no.3_4
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    • pp.231-239
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    • 2017
  • In this paper, we prove common fixed point theorems for $\mathcal{L}$-fuzzy mappings under implicit relation in b-metric spaces. Further, results obtained for an integral type contractive condition. These theorems generalize and improve previous corresponding results.

ALTERNATING RESOLVENT ALGORITHMS FOR FINDING A COMMON ZERO OF TWO ACCRETIVE OPERATORS IN BANACH SPACES

  • Kim, Jong Kyu;Truong, Minh Tuyen
    • Journal of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.1905-1926
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    • 2017
  • In this paper we introduce a new iterative method by the combination of the prox-Tikhonov regularization and the alternating resolvents for finding a common zero of two accretive operators in Banach spaces. And we will give some applications and numerical examples. The results of this paper improve and extend the corresponding results announced by many others.

Some Common Fixed Points for Type(β) Compatible Maps in an Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.13 no.2
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    • pp.147-153
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    • 2013
  • Previously, Park et al. (2005) defined an intuitionistic fuzzy metric space and studied several fixed-point theories in this space. This paper provides definitions and describe the properties of type(${\beta}$) compatible mappings, and prove some common fixed points for four self-mappings that are compatible with type(${\beta}$) in an intuitionistic fuzzy metric space. This paper also presents an example of a common fixed point that satisfies the conditions of Theorem 4.1 in an intuitionistic fuzzy metric space.