- P-ISSN1226-0657
- E-ISSN2287-6081
- KCI
ISSN : 1226-0657
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10권 3호
초록
Abstract
Weak commutativity of a pair of maps was introduced by Sessa [On a weak commutativity condition of mappings in fixed point considerations. Publ. Inst. Math. (Beograd) (N.S.) 32(40) (1982),149-153] in fixed point considerations. Thereafter a number of generalizations of this notion has been obtained. The purpose of this paper is to present a brief development of weaker forms of commuting maps, and to obtain two fixed point theorems for noncommuting and noncontinuous maps on noncomplete metric spaces.
초록
Abstract
In this paper we present a new and natural interpretation of subhypergroups in a partially ordered algebra. Then we study their connection with corresponding crisp concepts through their newly defined Q-cuts. The theorems proved also highly generalized the existing ones.
초록
Abstract
The purpose of this paper is to Show the relationships between three forms of the axiom of choice and well-ordering in an elementary topos.
초록
Abstract
In this paper, we initiate the study of some annihilator conditions on polynomials which were used by Kaplansky [Rings of operators. W. A. Benjamin, Inc., New York, 1968] to abstract the algebra of bounded linear operators on a Hilbert spaces with Baer condition. On the other hand, p.p.-rings were introduced by Hattori [A foundation of torsion theory for modules over general rings. Nagoya Math. J. 17 (1960) 147-158] to study the torsion theory. The purpose of this paper is to introduce the near-rings with Baer condition and near-rings with p.p. condition which are somewhat different from ring case, and to extend a results of Armendariz [A note on extensions of Baer and P.P.-rings. J. Austral. Math. Soc. 18 (1974), 470-473] and Jøndrup [p.p. rings and finitely generated flat ideals. Proc. Amer. Math. Soc. 28 (1971) 431-435].
초록
Abstract
It is shown that every almost linear mapping <TEX>$h{\;}:{\;}X{\;}{\rightarrow}{\;}Y$</TEX> of a complex normed space X to a complex normed space Y is a linen. mapping when h(rx) = rh(x) (r > 0,<TEX>$r\;{\neq}\;1$</TEX) holds for all <TEX>$x{\;}{\in}{\;}X$</TEX>, that every almost quadratic mapping <TEX>$h{\;}:{\;}X{\;}{\rightarrow}{\;}Y$</TEX> of a complex normed space X to a complex normed space Y is a quadratic mapping when <TEX>$h(rx){\;}={\;}r^2h(x){\;}(r{\;}>{\;}0,r\;{\neq}\;1)$</TEX> holds for all <TEX>$x{\;}{\in}{\;}X$</TEX>, and that every almost cubic mapping <TEX>$h{\;}:{\;}X{\;}{\rightarrow}{\;}Y$</TEX> of a complex normed space X to a complex normed space Y is a cubic mapping when <TEX>$h(rx){\;}={\;}r^3h(x){\;}(r{\;}>{\;}0,r\;{\neq}\;1)$</TEX> holds for all <TEX>$x{\;}{\in}{\;}X$</TEX>.
초록
Abstract
Let X and Y be n-dimensional Euclidean spaces with <TEX>$n\;{\geq}\;3$</TEX>. In this paper, we generalize a classical theorem of Bookman and Quarles by proving that if a mapping, from a half space of X into Y, preserves a distance <TEX>$\rho$</TEX>, then the restriction of f to a subset of the half space is an isometry.