• Title/Summary/Keyword: Strongly

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ON PROPERTIES OF MINMAX SUBAUTOMATA

  • Park, Chin-Hong;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.595-604
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    • 2004
  • In this paper We shall give some characterizations for mX* derived from the relationships between S(m) and C(m). Also we shall discuss the minimal, maximal, strongly cyclic and minmaxCR-automata. There is an interesting part for the relationship between mX* and S(m). That is to say, that mX* is minimal has the same meaning as S(m) is strongly cyclic. We shall note that the minimality implies ‘ strongly cyclic’ and ‘strongly cyclic’ implies ‘cyclic’ and ‘cyclic’ implies ‘a MaxCR-automaton’.

EXISTENCE AND ITERATIVE APPROXIMATIONS OF SOLUTIONS FOR STRONGLY NONLINEAR VARIATIONAL-LIKE INEQUALITIES

  • Li, Jin-Song;Sun, Ju-He;Kang, Shin-Min
    • East Asian mathematical journal
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    • v.27 no.5
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    • pp.585-595
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    • 2011
  • In this paper, we introduce and study a new class of strongly nonlinear variational-like inequalities. Under suitable conditions, we prove the existence of solutions for the class of strongly nonlinear variational- like inequalities. By making use of the auxiliary principle technique, we suggest an iterative algorithm for the strongly nonlinear variational-like inequality and give the convergence criteria of the sequences generated by the iterative algorithm.

MAPPING THEOREMS ON $X_1$${\circled{+}}$X_2$

  • Kim, Jae-Woon
    • The Pure and Applied Mathematics
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    • v.4 no.2
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    • pp.115-119
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    • 1997
  • We show that if $f_{i}$:$X_{i}$ longrightarrow Y is strongly continuous(resp. weakly continuous, set connected, compact, feebly continuous, almost-continuous, strongly $\theta$-continuous, $\theta$-continuous, g-continuous, V-map), then F : $X_1 \bigoplus X_2$longrightarrow Y is strongly continuous(resp.weakly continuous, set connected, compact, feebly continuous, almost-continuous, strongly $\theta$-continuous, $\theta$-continuous, g-continuous, V-map).

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Fuzzy strongly (r, s) -semiopen sets

  • Lee, Seung-On;Lee, Eun-Pyo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.4
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    • pp.299-303
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    • 2006
  • In this paper, we introduce the concepts of fuzzy strongly (r, s)-semiopen sets and fuzzy strongly (r, s)-semicontinuous mappings on the intuitionistic fuzzy topological space in Sostak's sense and then we investigate some of their characteristic properties.

Stably 가산 근사 Frames와 Strongly Lindelof Frames

  • 이승온
    • Journal for History of Mathematics
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    • v.16 no.1
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    • pp.63-72
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    • 2003
  • This paper is a sequel to [11]. We introduce $\sigma$-coherent frames, stably countably approximating frames and strongly Lindelof frames, and show that a stably countably approximating frame is a strongly Lindelof frame. We also show that a complete chain in a Lindelof frame if and only if it is a strongly Lindelof frame by using the concept of strong convergence of filters. Finally, using the concepts of super compact frames and filter compact frames, we introduce an example of a strongly Lindelof frame which is not a stably countably approximating frame.

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FUZZY STRONGLY r-SEMICONTINUOUS NEIGHBORHOODS

  • Lee, Seok-Jong;Park, Ju-Hui
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.63-66
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    • 2000
  • In this thesis, we introduce and investigate the notions of a fuzzy strongly ${\gamma}$-semineighbor-hood and a fuzzy strogly r-quasi-semineighborhood in fuzzy topological spaces which are generalizations of a fuzzy strongly semineighborhood and a fuzzy strongly quasi-semineighborhood, respectively.

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