• Title/Summary/Keyword: Strongly

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THE BOUNDARY BEHAVIOR BETWEEN THE KOBAYASHI-ROYDEN AND CARATHÉODORY METRICS ON STRONGLY PSEUDOCONVEX DOMAIN IN ℂn

  • KIM, JONG JIN;PARK, SUNG HEE
    • Honam Mathematical Journal
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    • v.19 no.1
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    • pp.81-86
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    • 1997
  • The aim of this paper is to prove the boundary behavior between the Caratheodory and Kobayashi-Royden metrics in a strongly pseudoconvex bounded domain with $C^2$-boundary in $\mathbb{C}^n$ and to show that the converse does not holds. S. Venturini([Ven]) proved the corresponding result with distances in place of the infinitesimal metrics.

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SOME STRONG FORMS OF (g,g')-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES

  • Min, Won-Keun;Kim, Young-Key
    • Honam Mathematical Journal
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    • v.33 no.1
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    • pp.85-91
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    • 2011
  • We introduce and investigate the notions of super (g,g')-continuous functions and strongly $\theta$(g,g')-continuous functions on generalized topological spaces, which are strong forms of (g,g')-continuous functions. We also investigate relationships among such the functions, (g,g')-continuity and (${\delta},{\delta}'$)-continuity.

EXITSENCE OF MILD SOLUTIONS FOR SEMILINEAR MIXED VOLTERRA-FREDHOLM FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCALS

  • LEE, HYUN MORK
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.3
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    • pp.365-375
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    • 2015
  • Of concern is the existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear mixed Volterra-Fredholm functional integrodifferential equation. Our analysis is based on the theory of a strongly continuous semigroup of operators and the Banach fixed point theorem.

Note on the Transformed Geometric Poisson Processes

  • Park, Jeong-Hyun
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.2
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    • pp.135-141
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    • 1997
  • In this paper, it is investigated the properties of the transformed geometric Poisson process when the intensity function of the process is a distribution of the continuous random variable. If the intensity function of the transformed geometric Poisson process is a Pareto distribution then the transformed geometric Poisson process is a strongly P-process.

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ON SOME TYPES OF CONTINUOUS FUZZY MULTIFUNCTIONS

  • Ekici, Erdal
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.4
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    • pp.647-656
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    • 2004
  • In this paper, by using operations, some characterizations and some properties of fuzzy lower and upper continuous multifunctions and its weaker and stronger forms including fuzzy lower and upper weakly continuous, fuzzy lower and upper ${\theta}-continuous$, fuzzy lower and upper strongly ${\theta}-continuous$, fuzzy lower and upper almost strongly ${\theta}-continuous$, fuzzy lower and upper weakly ${\theta}-continuous$, fuzzy lower and upper almost continuous, fuzzy lower and upper super continuous, fuzzy lower and upper ${\delta}-continuous$, are presented.

Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers

  • Tripathy, Binod Chandra;Baruah, Achyutanada
    • Kyungpook Mathematical Journal
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    • v.50 no.4
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    • pp.565-574
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    • 2010
  • In this paper we introduce the concept of lacunary statistical and lacunary strongly convergence of generalized difference sequence of fuzzy real numbers. We prove some inclusion relations and also study some of their properties.

SUMS OF TRIPOTENT AND NILPOTENT MATRICES

  • Abdolyousefi, Marjan Sheibani;Chen, Huanyin
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.913-920
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    • 2018
  • Let R be a 2-primal strongly 2-nil-clean ring. We prove that every square matrix over R is the sum of a tripotent and a nilpotent matrices. The similar result for rings of bounded index is proved. We thereby provide a large class of rings over which every matrix is the sum of a tripotent and a nilpotent matrices.

CONVERGENCE THEOREMS OF ITERATIVE ALGORITHMS FOR A GENERAL SYSTEM OF VARIATIONAL INEQUALITIES WITH APPLICATIONS

  • Kang, Shin Min;Kwun, Young Chel;Qin, Xiaolong
    • Korean Journal of Mathematics
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    • v.18 no.4
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    • pp.441-464
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    • 2010
  • In this paper, we introduce an iterative method for finding common elements of the set of solutions to a general system of variational inequalities for inverse-strongly accretive mappings and of the set of fixed points of strict pseudo-contractions in a real Banach space. The results presented in this paper mainly improve and extend the corresponding results announced by many others.

ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS

  • Cho, Sun-Young;Kang, Shin-Min;Qin, Xiaolong
    • Communications of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.51-65
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    • 2011
  • In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common xed point of a pair of nonexpansive mappings.