Showing papers in "Kyungpook Mathematical Journal in 1995"
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TL;DR: In this article, a common fixed point theorem of type for two pairs of compatible mappings by using a single hypothesis on the existence of non-Archimedian trisection points was presented.
Abstract: In this note, we present a common fixed point theorem of type for two pairs of compatible mappings by using a single hypothesis on the existence of 'non-Archimedian trisection-points'. In the sequel, our result improve the results of Davies and Sessa, Davies, Jungck and many others.
37 citations
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TL;DR: In this paper, the concept of weak compatible mappings of type (A) was introduced and a fixed point theorem was proved for weak compatible mapping of type A in 2-metric spaces.
Abstract: In this paper, first, we introduce the concept of weak compatible mappings of type (A) and compare these mappings with compatible mappings and compatible mappings of type (A) in 2-metric spaces. In the sequel, we derive some relations between these mappings. Secondly, we prove a coincidence point theorem and a fixed point theorem for weak compatible mappings of type (A) in 2-metric spaces.
17 citations
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TL;DR: In this article, the authors introduce and investigate the notion of almost s-continuous functions, which they call almost scontinuity, irresoluteness, and continuity.
Abstract: In this paper we introduce and investigate the notion of almost s-continuous functions. It will turn out that each of almost s-continuity, irresoluteness, and continuity is independent of one another.
16 citations
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TL;DR: In this article, the authors considered the class (p, A, B) consisting of regular and p-valent functions in the punctured disc and obtained the radius of convexity for the class.
Abstract: In this paper we consider the class (p; A, B) consisting of regular and p-valent functions in the punctured disc D = {z : 0 (p; A, B). Also we have shown that the class (p; A, B) is closed under arithmetic mean and convex linear combinations. Lastly we have obtained the radius of convexity for the class(p; A, B). Various results obtained in this paper are shown to be sharp.
14 citations
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TL;DR: In this article, it was shown that the radical class of Baer is the intersection of all the semiprime bi-ideals of a ring with and without unity.
Abstract: The purpose of this note is to extend the results of prime and semiprime bi-ideals of associative rings with unity to associative rings without unity. Furthermore, we show that the radical class of Baer is the intersection of all the semiprime bi-ideals of a ring.
9 citations
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8 citations
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TL;DR: In this article, the authors look at some ring theoretic and module theoretic properties and try to see how do they transfer between R, S and M. In particular, they look at each of the Noetherian and Artinian properties and in particular, the regularity of R.
Abstract: Let R be a commutative ring with 1, and let M be a (left) unitary R-module, let S = End(M) be the ring of R-endomorphisms of M. In this paper we look at some ring theoretic and module theoretic properties and try to see how do they transfer between R, S and M. Recall that an R-module M is said to be a multiplication R-module if each sub-module N of M has the form IM for some ideal I of R, [2]. In of this note we look at each of the Noetherian and Artinian properties and in , we look at the regularity of R, and try to see how do they transfer to S.
5 citations
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TL;DR: In this article, it was shown that the semiring of a1l metrices over a multiplicatively commutative semiring R in which for each,, there exist such that is a regular semiring can be characterized by k-ideals.
Abstract: A semi ring R is said to be regular in the sense of VON NEUMANN if for every element there exist some such that a + axa = aya. The main purpose of this paper is to show that the semiring of a1l metrices over a multiplicatively commutative semiring R in which for each , , there exist such that is a regular semiring. Another aim of this paper is to characterize the regularity condition by k-ideals.
5 citations
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TL;DR: In this article, the authors studied the length of second fundamental form of submanifolds with nonnegative Ricci curvature in a Euclidean space and proved that these sub-mansifolds are totally geodesic if a function on the unit tangent bundle satisfies a certain inequality concerning with the mean curvature vector.
Abstract: We study the length of second fundamental form of submanifolds with nonnegative Ricci curvature in a Euclidean space and prove that submanifolds are totally geodesic if a function on the unit tangent bundle satisfies a certain inequality concerning with the mean curvature vector.
2 citations
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TL;DR: In this paper, the authors established some new integral inequalities which originate from Hardy's inequality, based on the idea used by Levinson to obtain the generalizations of Hardy's integral inequality.
Abstract: In this paper we establish some new integral inequalities which originate from Hardy's inequality. The analysis used in this paper is based on the idea used by Levinson to obtain the generalizations of Hardy's integral inequality.
2 citations
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TL;DR: In this paper, the authors define some new cla.sses of functi ons using the djfferential operator and examine their properties, and observe that r \" 1(,) = Z + ε:2 dk Z k = D\" f (z) where D is an operator defined by Sa.1 agoan.
Abstract: Let A denote the c1 ass of functions f analytic in the open unit disc E {z E CI 1 ,1 < l} normalized by 1(0) = 1’(0) 1 = O. Then 1 E A has the expallsioll I (z) = z + ε:2 dk Z k . \\ îe defi l1e [n / (z) = Z + Lζ2 k nakzk fot 외 I integer values 。f n. We observe that r \" 1(,) = Z + L얻2 k’‘ dkZk = D\" f (z) where D is an operator defin ed by Sa.1 agoan. fn this paper we define some new cla.sses of functi ons using the djfferential operator ]\" and examine their properties
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TL;DR: In this article, Goyal et al. obtained three new and interesting composition formulae of a class of multidimensional fractional integral operators involving the product of the generalized polynomials and the multivariable H-function.
Abstract: In the present paper we obtain three new and interesting composition formulae of a class of multidimensional fractional integral operators involving the product of the generalized polynomials and the multivariable H-function. On account of the most general nature of the functions used here as kernels, the main results of our paper are unified in nature and capable of yielding a very large number of corresponding results (new and known) involving simpler special functions and polynomials (of one or more variables) as special cases of our formulae. We give here exact references of the five results obtained by [1], Goyal and Jain [10], Gupta and Jain [9], Goyal et al.[11], Srivastava et al.[5] which follow as special case of our findings. Thus the present study unifies and extends a number of composition formulae lying scattered in the literature.
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TL;DR: In this article, it was shown that a 3-dimensional Ricci-parallel Riemannian manifold is locally symmetric if and only if it is of dimension 2 and constant curvature 1.
Abstract: We investigate the tangent sphere bundle of a 2-dimensional Riemannian manifold M with the natural Riemannian structure g in the two classes, given by A.Gray([3]), including Ricci-parallel Riemannian manifolds. Also, we prove that is conformally flat if and only if is locally symmetric. The motivation of this paper are a fact that a 3-dimensional Ricci-parallel Riemannian manifold is locally symmetric and a result([2]) that the natural Riemannian structure of the tangent sphere bundle of a Riemannian manifold is locally symmetric if and only if either the baes manifold is flat or is of dimension 2 and constant curvature 1.
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TL;DR: In this article, the magnitudes of p-adic differences of any differentiable function f(x) and the values of its so-called Mahler coefficients are analyzed. But the relationship between the magnitude of padic differences and the answer of Mahler's problem is not discussed.
Abstract: We give a few relationships between the magnitudes of p-adic differences of any differentiable function f(x) and the p-adic values of its so-called Mahler coefficients which include answer of Mahler's problem as a special case.
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TL;DR: In this article, the quadric hypersurfaces and hypercones on spherical submanifolds with finite-type Gauss maps were classified with finite type Gauss map.
Abstract: We classify the quadric hypersurfaces and hypercones shaped on spherical submanifolds with finite type Gauss maps.