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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Seoung Dal Jung
Volume & Issues
Volume 25, Issue 4 - Oct 2010
Volume 25, Issue 3 - Jul 2010
Volume 25, Issue 2 - Apr 2010
Volume 25, Issue 1 - Jan 2010
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1
ON PERMUTING 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS
Park, Kyoo-Hong ; Jung, Yong-Soo ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 1~9
DOI : 10.4134/CKMS.2010.25.1.001
Abstract
In this note, we introduce a permuting 3-derivation in nearrings and investigate the conditions for a near-ring to be a commutative ring.
2
ON NILPOTENCE INDICES OF SIGN PATTERNS
Erickson, Craig ; Kim, In-Jae ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 11~18
DOI : 10.4134/CKMS.2010.25.1.011
Abstract
The work in this paper was motivated by [3], where Eschenbach and Li listed four 4 by 4 sign patterns, conjectured to be nilpotent sign patterns of nilpotence index at least 3. These sign patterns with no zero entries, called full sign patterns, are shown to be potentially nilpotent of nilpotence index 3. We also generalize these sign patterns of order 4 so that we provide classes of n by n sign patterns of nilpotence indices at least 3, if they are potentially nilpotent. Furthermore it is shown that if a full sign pattern A of order n has nilpotence index k with
, then sign pattern A has nilpotent realizations of nilpotence indices k, k + 1,
, n. Hence, the four 4 by 4 sign patterns in [3, page 91] also allow nilpotent realizations of nilpotence index 4.
3
THE LINEAR DISCREPANCY OF 3 × 3 × 3
Chae, Gab-Byoung ; Cheong, Min-Seok ; Kim, Sang-Mok ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 19~25
DOI : 10.4134/CKMS.2010.25.1.019
Abstract
is the meaningful smallest product of three chains of each size 2n+1 since
is a 1-element poset. The linear discrepancy of the product of three chains
is found as
. But the case of the product of three chains
is not known yet. In this paper, we determine ld
as a case to determine the linear discrepancy of the product of three chains of each size 2n + 1.
4
A SIMPLE PROOF OF THE p-ADIC VERSION OF THE SOBOLEV EMBEDDING THEOREM
Kim, Yong-Cheol ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 27~36
DOI : 10.4134/CKMS.2010.25.1.027
Abstract
We give a simple proof of certain mapping properties of the p-adic Riesz potential and Bessel potential, and the p-adic version of the Sobolev embedding theorem obtained in [6].
5
GENERALIZED FUZZY NUMBER VALUED BARTLE INTEGRALS
Park, Chun-Kee ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 37~49
DOI : 10.4134/CKMS.2010.25.1.037
Abstract
In this paper we introduce the integration of scalar valued functions with respect to a generalized fuzzy number measure which we call the generalized fuzzy number valued Bartle integral. We first establish some properties of the generalized fuzzy number measures and then study the generalized fuzzy number valued Bartle integrals.
6
THE LACUNARY STRONG ZWEIER CONVERGENT SEQUENCE SPACES
Sengonul, Mehmet ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 51~57
DOI : 10.4134/CKMS.2010.25.1.051
Abstract
In this paper we introduce and study the lacunary strong Zweier sequence spaces
,
consisting of all sequences x
7
COMMON FIXED POINT THEOREM OF SEMI-COMPATIBLE MAPS ON INTUITIONISTIC FUZZY METRIC SPACE
Park, Jong-Seo ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 59~68
DOI : 10.4134/CKMS.2010.25.1.059
Abstract
In this paper, we prove common fixed point theorems for semi-compatible mappings on intuitionistic fuzzy metric space with different some conditions of Park and Kim [10]. This research extended and generalized the results of Singh and Chauhan [14].
8
AN ITERATIVE SCHEME FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIVE MAPPINGS
Wang, Ziming ; Su, Yongfu ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 69~82
DOI : 10.4134/CKMS.2010.25.1.069
Abstract
In this paper, we propose an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of an asymptotically k-strict pseudo-contractive mapping in the setting of real Hilbert spaces. We establish some weak and strong convergence theorems of the sequences generated by our proposed scheme. Our results are more general than the known results which are given by many authors. In particular, necessary and sufficient conditions for strong convergence of our iterative scheme are obtained.
9
GEODESIC SPHERES AND BALLS OF THE HEISENBERG GROUPS
Jang, Changrim ; Park, Ji-Hye ; Park, Keun ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 83~96
DOI : 10.4134/CKMS.2010.25.1.083
Abstract
Let
be the (2n+1)-dimensional Heisenberg group equipped with a left-invariant metric. In this paper we study the Gaussian curvatures of the geodesic spheres and the volumes of geodesic balls in
.
10
SOME PROPERTIES OF THE STRONG CHAIN RECURRENT SET
Fakhari, Abbas ; Ghane, Fatomeh Helen ; Sarizadeh, Aliasghar ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 97~104
DOI : 10.4134/CKMS.2010.25.1.097
Abstract
The article is devoted to exhibit some general properties of strong chain recurrent set and strong chain transitive components for a continuous map f on a compact metric space X. We investigate the relation between the weak shadowing property and strong chain transitivity. It is shown that a continuous map f from a compact metric space X onto itself with the average shadowing property is strong chain transitive.
11
β-PRECONVEX SETS ON PRECONVEXITY SPACES
Min, Won-Keun ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 105~110
DOI : 10.4134/CKMS.2010.25.1.105
Abstract
In this paper, we introduce the concept of
-preconvex sets on preconvexity spaces. We study some properties for
-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of
-convex function and
-convex function.
12
CERTAIN SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES OF THE WEDGE OF TWO MOORE SPACES
Jeong, Myung-Hwa ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 111~117
DOI : 10.4134/CKMS.2010.25.1.111
Abstract
For a based, 1-connected, finite CW-complex X, we denote by
the group of homotopy classes of self-homotopy equivalences of X and by
the subgroup of homotopy classes which induce the identity on the homotopy groups of X in dimensions
dim X+r. In this paper, we calculate the subgroups
when X is a wedge of two Moore spaces determined by cyclic groups and in consecutive dimensions.
13
SOME RESULTS ON ASYMPTOTIC BEHAVIORS OF RANDOM SUMS OF INDEPENDENT IDENTICALLY DISTRIBUTED RANDOM VARIABLES
Hung, Tran Loc ; Thanh, Tran Thien ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 119~128
DOI : 10.4134/CKMS.2010.25.1.119
Abstract
Let
be a sequence of independent identically distributed (i.i.d.) random variables (r.vs.), defined on a probability space (
,A,P), and let
be a sequence of positive integer-valued r.vs., defined on the same probability space (
,A,P). Furthermore, we assume that the r.vs.
,
are independent of all r.vs.
,
. In present paper we are interested in asymptotic behaviors of the random sum $S_{N_n}
14
A SYSTEM OF NONLINEAR SET-VALUED IMPLICIT VARIATIONAL INCLUSIONS IN REAL BANACH SPACES
Bai, Chuanzhi ; Yang, Qing ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 129~137
DOI : 10.4134/CKMS.2010.25.1.129
Abstract
In this paper, we introduce and study a system of nonlinear set-valued implicit variational inclusions (SNSIVI) with relaxed cocoercive mappings in real Banach spaces. By using resolvent operator technique for M-accretive mapping, we construct a new class of iterative algorithms for solving this class of system of set-valued implicit variational inclusions. The convergence of iterative algorithms is proved in q-uniformly smooth Banach spaces. Our results generalize and improve the corresponding results of recent works.
15
ON OPTIMALITY AND DUALITY FOR GENERALIZED NONDIFFERENTIABLE FRACTIONAL OPTIMIZATION PROBLEMS
Kim, Moon-Hee ; Kim, Gwi-Soo ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 139~147
DOI : 10.4134/CKMS.2010.25.1.139
Abstract
A generalized nondifferentiable fractional optimization problem (GFP), which consists of a maximum objective function defined by finite fractional functions with differentiable functions and support functions, and a constraint set defined by differentiable functions, is considered. Recently, Kim et al. [Journal of Optimization Theory and Applications 129 (2006), no. 1, 131-146] proved optimality theorems and duality theorems for a nondifferentiable multiobjective fractional programming problem (MFP), which consists of a vector-valued function whose components are fractional functions with differentiable functions and support functions, and a constraint set defined by differentiable functions. In fact if
is a solution of (GFP), then
is a weakly efficient solution of (MFP), but the converse may not be true. So, it seems to be not trivial that we apply the approach of Kim et al. to (GFP). However, modifying their approach, we obtain optimality conditions and duality results for (GFP).
16
QUARTET CONSISTENCY COUNT METHOD FOR RECONSTRUCTING PHYLOGENETIC TREES
Cho, Jin-Hwan ; Joe, Do-Sang ; Kim, Young-Rock ;
Communications of the Korean Mathematical Society, volume 25, issue 1, 2010, Pages 149~160
DOI : 10.4134/CKMS.2010.25.1.149
Abstract
Among the distance based algorithms in phylogenetic tree reconstruction, the neighbor-joining algorithm has been a widely used and effective method. We propose a new algorithm which counts the number of consistent quartets for cherry picking with tie breaking. We show that the success rate of the new algorithm is almost equal to that of neighbor-joining. This gives an explanation of the qualitative nature of neighbor-joining and that of dissimilarity maps from DNA sequence data. Moreover, the new algorithm always reconstructs correct trees from quartet consistent dissimilarity maps.