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Vol.16 No.3

Park, Jin-Woo pp.255-258
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Abstract

It is well known that for a sequence a = (<TEX>$a_0,\;a_1$</TEX>,...) the general term of the dual sequence of a is <TEX>$a_n\;=\;c_0\;^n_0\;+\;c_1\;^n_1\;+\;...\;+\;c_n\;^n_n$</TEX>, where c = (<TEX>$c_0,...c_n$</TEX> is the dual sequence of a. In this paper, we find the general term of the sequence (<TEX>$c_0,\;c_1$</TEX>,... ) and give another method for finding the inverse matrix of the Pascal matrix. And we find a simple proof of the fact that if the general term of a sequence a = (<TEX>$a_0,\;a_1$</TEX>,... ) is a polynomial of degree p in n, then <TEX>${\Delta}^{p+1}a\;=\;0$</TEX>.

Min, Won-Keun pp.259-269
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Abstract

We introduce the concept of intuitionistic fuzzy minimal structure which is an extension of the intuitionistic fuzzy topological space. And we introduce and study the concepts of intuitionistic fuzzy M -continuity, intuitionistic fuzzy Mopen mappings and several types of intuitionistic fuzzy minimal compactness on intuitionistic fuzzy minimal spaces.

Jin, Dae-Ho pp.271-276
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Abstract

We study the geometry of screen conformal light like hypersurfaces M of a semi- Riemannian manifold M. The main result is a characterization theorem for screen conformal lightlike hypersurfaces of a semi-Riemannian space form.

Yang, Young-Oh ; Kim, Cheoul-Jun pp.277-281
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Abstract

A Hilbert space operator T is a 2-isometry if <TEX>$T^{{\ast}2}T^2\;-\;2T^{\ast}T+I$</TEX> = O. We shall study some properties of 2-isometries, in particular spectra of a non-unitary 2-isometry and give an example. Also we prove with alternate argument that the Weyl's theorem holds for 2-isometries.

Choi, Eun-Mi pp.283-296
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Abstract

Let f(x) = <TEX>$x^n\;+\;a$</TEX> be a binomial polynomial in Z[x] and <TEX>$f_m(x)$</TEX> be the m-th iterate of f(x). In this work we study a necessary condition to be the Galois group of <TEX>$f_m(x)$</TEX> is isomorphic to a wreath product group <TEX>$[C_n]^m$</TEX> where <TEX>$C_n$</TEX> is a cyclic group of order n.

Kim, Hark-Mahn ; Son, Eun-Yonug pp.297-306
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Abstract

In this paper, we obtain the general solution and the generalized HyersUlam stability theorem for an additive functional equation <TEX>$af(x+y)+2f({\frac{x}{2}}+y)+2f(x+{\frac{y}{2})=(a+3)[f(x)+f(y)]$</TEX>for any fixed integer a.

Raflq, Arif ; Lee, Byung-Soo pp.307-314
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Abstract

The purpose of this paper is to establish a strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of continuous strongly pseudocontractive mappings. The results presented in this paper extend and improve the corresponding results of References [2, 6, 11-12].

Park, Chun-Kee pp.315-326
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Abstract

In this paper, we introduce Debreu integral of fuzzy mappings in Banach spaces in terms of the Debreu integral of set-valued mappings, investigate properties of Debreu integral of fuzzy mappings in Banach spaces and obtain the convergence theorem for Debreu integral of fuzzy mappings in Banach spaces.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics