- P-ISSN1226-0657
- E-ISSN2287-6081
- KCI
ISSN : 1226-0657
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17권 2호
초록
Abstract
Let <TEX>$\cal{A}$</TEX> be a unital Banach algebra. If f : <TEX>$\cal{A}{\rightarrow}\cal{A}$</TEX> is an approximately quadratic derivation in the sense of Hyers-Ulam-J.M. Rassias, then f : <TEX>$\cal{A}{\rightarrow}\cal{A}$</TEX> is anexactly quadratic derivation. On the other hands, let <TEX>$\cal{A}$</TEX> and <TEX>$\cal{B}$</TEX> be Banach algebras.Any approximately generalized homomorphism f : <TEX>$\cal{A}{\rightarrow}\cal{B}$</TEX> corresponding to Cauchy, Jensen functional equation can be estimated by a generalized homomorphism.
초록
Abstract
Throught this paper, we will investigate some properties of left regular and strongly reduced near-rings. Mason introduced the notion of left regularity and he characterized left regular zero-symmetric unital near-rings. Also, this concept have been studied by several authors. The purpose of this paper is to find some characterizations of the strong reducibility in near-rings, and the strong regularity in near-rings which are closely related with strongly reduced near-rings.
초록
Abstract
Category Fuz of fuzzy sets has a similar function to the Category Set. But it forms a weak topos. We study a natural number object and a weak natural number object in the weak topos Fuz. Also we study the weak natural number object in <TEX>$Fuz^C$</TEX>.
초록
Abstract
In this paper, we introduce the concepts of faintly <TEX>${\gamma}$</TEX>-continuity and extremely <TEX>${\gamma}$</TEX>-closed graph. And we study characterizations of such functions and relationships between faintly <TEX>${\gamma}$</TEX>-continuity and extremely <TEX>${\gamma}$</TEX>-closed graph.
초록
Abstract
The object of the present paper is to introduce <TEX>${\Lambda}$</TEX>-dual and the concept of sectional analyticity (Abschinitts-anatytique or AA property) of an FK-space.The motivation for AA-property is that a sequence space having AK-property possess AA-property.
초록
Abstract
Let (M,p) be a germ of a <TEX>$C^{\infty}$</TEX> CR manifold of CR dimension n and CR codimension d. Suppose (M,p) admits a <TEX>$C^{\infty}$</TEX> contraction at p. In this paper, we show that (M,p) is CR equivalent to a generic submanifold in <TEX>$\mathbb{C}^{n+d}$</TEX> defined by a vector valued weighted homogeneous polynomial.
초록
Abstract
In this paper, we introduce the concept of a weakly P-space which is a generalization of a P-space and prove that for any covering map f : <TEX>$X{\rightarrow}Y$</TEX>, X is a weakly P-space if and only if Y is a weakly P-space. Using these, we investigate the minimal basically disconnected cover of weakly P-spaces and their products.
초록
Abstract
Using Darbo's fixed point theorem, we establish the existence of monotone solutions for a nonlinear quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval.
초록
Abstract
In this note the distribution of roots of cubic equations in contrast to 0 is given, which is useful to discuss eigenvalues for qualitative properties of differential equations.
초록
Abstract
We give an upper bound for the estimation of the difference between both sides of the well-known H<TEX>$\ddot{o}$</TEX>lder's inequality. Moreover, an upper bound for the estimation of the difference of the integral form of H<TEX>$\ddot{o}$</TEX>lder's inequality is also obtained. The results of this paper are natural generalizations and refinements of those of [2-4].