• 대한수학회지
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• 제51권2호
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• pp.251-266
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• 2014

In this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before [1]-[13], in some interesting cases, provided that the Fr$\acute{e}$chet-derivative of the operator involved is p-H$\ddot{o}$lder continuous (p${\in}$(0, 1]). Numerical examples involving two boundary value problems are also provided.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제12권3호
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• pp.229-235
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• 2005

The notions of spherically concave functions defined on a subregion of the Riemann sphere P are introduced in different ways in Kim & Minda [The hyperbolic metric and spherically convex regions. J. Math. Kyoto Univ. 41 (2001), 297-314] and Kim & Sugawa [Charaterizations of hyperbolically convex regions. J. Math. Anal. Appl. 309 (2005), 37-51]. We show continuity of the concave function defined in the latter and show that the two notions of the concavity are equivalent for a function of class $C^2$. Moreover, we find more characterizations for spherically concave functions.

• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.1059-1066
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• 2011

We introduce the concept of fuzzy S-weakly r-M-continuous functions on fuzzy r-minimal spaces, and investigate some characterizations of such functions and the relations between the continuity and fuzzy r-minimal compactness on fuzzy r-minimal spaces.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제3권1호
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• pp.53-58
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• 1996

In 1981, R . Badard introduced the notion of fuzzy pretopological spaces and their representation[1]. And in 1992, R. Badard, et al. introduced the L-fuzzy pretopological spaces and studied properties of continuity, open map, closed map, and homeomorphism in L-fuzzy pretopological spaces. In this paper we introduce and study the concepts of almost continuous functions and weakly pre-continuous functions on L-fpts's.(omitted)

• 대한수학회보
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• 제51권2호
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• pp.437-442
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• 2014

In this paper we prove Ekeland's variational principle in the setting of locally complete spaces for lower semi continuous functions from above and bounded below. We use this theorem to prove Caristi's fixed point theorem in the same setting and also for lower semi continuous functions.

• Korean Journal of Mathematics
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• 제4권2호
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• pp.95-100
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• 1996

In this note, the notion of fuzzy almost s-continuity is introduced and some results related to this notion are obtained.

• 한국과학교육학회지
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• 제15권3호
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• pp.325-331
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• 1995

The purpose of this study is to analyze learning objectives of biology contents in SATIS 14-16. Modified the 5th NAEP three dimentional science assessment framework was used to analyze learning objectives of SATIS 14-16. This study will be a basic data for the development of STS programs in KOREA. The following results were obtained. 1. In a content dimension, 'structures and functions of organism'(63.9%) was the most frequently found, followed by 'the nature and our Iives'(22.1%), 'a continuity of Iife'(9.4%) and 'our surrounding Iives'(4.7%). 2. In a cognitive dimension, an understanding of scientific knowledge(32.7%) was the most frequently found, followed by an improvement of inquiry ability(25.6%), attitude(24.7%), and scientific knowledge and its application(17.0%). 3. In a context dimension, a personal context(32.8%) was the most frequently found, followed by a social context(27.3%), a scientific context(20.0%) and a technological context(20.0%). 4. There were some differences in behavior when each content was compared. In 'surrounding lives' and 'a continuity of life', an understanding of scientific knowledge was the most frequently found. In 'structures and functions of organism' and 'the nature and our lives', proportions of four behavioral catagories were relatively even. 5. There were some differences in context when each content was compared. In 'surrounding lives', scientific context was the most frequently found, whereas in 'structures and functions of lives', individual context was found the most frequently. In 'a continuity of life', scientific and social context were found more frequently than others. In 'the nature and our lives', social context was the most frequent one.

• 호남수학학술지
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• 제36권3호
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• pp.669-678
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• 2014

We investigate various properties of ${\kappa}$-net convergence structures and define a ${\kappa}$-net-based continuous function on ${\kappa}$-net $\mathcal{L}^+$-convergence structures, and study relationships between continuity and ${\kappa}$-net-based continuity on ${\kappa}$-net $\mathcal{L}^+$-convergence structures. We also provide some characterizations of ${\kappa}$-net-based continuity.

• 대한수학회논문집
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• 제21권3호
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• pp.419-428
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• 2006

The Berezin transform is the analogue of the Poisson transform in the Bergman spaces. Dyakonov characterize the holomorphic weighted Lipschitz function in the unit disk in terms of the Possion integral. In this paper, we characterize the harmonic weighted Lispchitz function in terms of the Berezin transform instead of the Poisson integral.

• Kyungpook Mathematical Journal
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• 제27권2호
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• pp.173-179
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• 1987

In this article the absolute convergence of lacunary Fourier Coefficients Series is studied for Hilbert space valued functions. The considered functions arc assumed to be of either the modulus of continuity or the modulus of smoothness of order l which are considered only at a fixed point in [$-{\pi},{\pi}$]. On the other hand for values in weakly sequentially complete Banach space, the lacunary Fourier coefficients series is strongly unconditionally convergent. The results obtained here are a kind of a generalization of the results due to Kandil [4].