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Honam Mathematical Journal
Journal Basic Information
pISSN :
1225-293X
eISSN :
2288-6176
Journal DOI :
10.5831/HMJ
Frequency :
Others
Publisher:
The Honam Mathematical Society
Editor in Chief :
Volume & Issues
Volume 35, Issue 4 - Dec 2013
Volume 35, Issue 3 - Sep 2013
Volume 35, Issue 2 - Jun 2013
Volume 35, Issue 1 - Mar 2013
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1
FIXED POINTS OF CONVERSE COMMUTING MAPPINGS USING AN IMPLICIT RELATION
Chauhan, Sunny ; Khan, M. Alamgir ; Sintunavarat, Wutiphol ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 109~117
DOI : 10.5831/HMJ.2013.35.2.109
Abstract
In the present paper, we utilize the notion of converse commuting mappings due to L
[On common fixed points for converse commuting self-maps on a metric spaces, Acta. Anal. Funct. Appl. 4(3) (2002), 226-228] and prove a common fixed point theorem in Menger space using an implicit relation. We also give an illustrative example to support our main result.
2
ON A PRODUCT-SYMMETRIC RECURRENT-METRIC CONNECTION IN AN ALMOST HERMITIAN MANIFOLD
Kim, Jaeman ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 119~128
DOI : 10.5831/HMJ.2013.35.2.119
Abstract
In the present paper, we define a product-symmetric recurrent-metric connection in an almost Hermitian manifold and study some properties of this connection, in particular, its curvature properties.
3
ON BOUNDED SOLUTIONS OF PEXIDER-EXPONENTIAL FUNCTIONAL INEQUALITY
Chung, Jaeyoung ; Choi, Chang-Kwon ; Lee, Bogeun ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 129~136
DOI : 10.5831/HMJ.2013.35.2.129
Abstract
Let G be a commutative group which is 2-divisible,
the set of real numbers and
. In this article, we investigate bounded solutions of the Pexider-exponential functional inequality
for all
.
4
LOG-SINE AND LOG-COSINE INTEGRALS
Choi, Junesang ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 137~146
DOI : 10.5831/HMJ.2013.35.2.137
Abstract
Motivated essentially by their potential for applications in a wide range of mathematical and physical problems, the log-sine and log-cosine integrals have been evaluated, in the existing literature on the subject, in many different ways. The main object of this paper is to present explicit evaluations of some families of log-sine and log-cosine integrals by making use of the familiar Beta function.
5
CERTAIN CLASS OF QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IN QUATERNIONIC SPACE FORM
Kim, Hyang Sook ; Pak, Jin Suk ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 147~161
DOI : 10.5831/HMJ.2013.35.2.147
Abstract
In this paper we determine certain class of
-dimensional QR-submanifolds of maximal QR-dimension isometrically immersed in a quaternionic space form, that is, a quaternionic K
hler manifold of constant Q-sectional curvature under the conditions (3.1) concerning with the second fundamental form and the induced almost contact 3-structure.
6
THE BOREL-CANTELLI LEMMA UNDER PAIRWISE EXTENDED NEGATIVE QUADRANT DEPENDENCE
Ko, Mi-Hwa ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 163~171
DOI : 10.5831/HMJ.2013.35.2.163
Abstract
By extending the negatively quadrant dependence, the paper puts forth the concept of extended negative quadrant dependence. A generalization of the second Borel-Cantelli lemma is obtained under extended negative quadrant dependence. Some applications are also introduced.
7
MULTIPLICATION DEDEKIND MODULES
Cho, Yong Hwan ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 173~178
DOI : 10.5831/HMJ.2013.35.2.173
Abstract
In this paper, we give some properties on multiplication Dedekind modules.
8
A TIME-INDEPENDENT CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT ON AN ANALOGUE OF WIENER SPACE
Cho, Dong Hyun ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 179~200
DOI : 10.5831/HMJ.2013.35.2.179
Abstract
Let
denote the function space of all real-valued continuous paths on
. Define
by
, where
<
<
<
<
is a partition of
. In the present paper, using a simple formula for the conditional expectation given the conditioning function
, we evaluate the
-analytic conditional Fourier-Feynman transform and the conditional convolution product of the cylinder functions which have the form
, where {
} is an orthonormal subset of
and
. We then investigate several relationships between the conditional Fourier-Feynman transform and the conditional convolution product of the cylinder functions.
9
ON MULTIPLIERS OF BCC-ALGEBRAS
Kim, Kyung Ho ; Lim, Hyo Jin ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 201~210
DOI : 10.5831/HMJ.2013.35.2.201
Abstract
In this paper, we introduced the notion of multiplier of a BCC-algebra, and gave some properties of BCC-algebras. Also, we characterized kernels and normal ideals of multipliers on BCC-algebras.
10
MINIMUM PERMANENTS ON DOUBLY STOCHASTIC MATRICES WITH PRESCRIBED ZEROS
Song, Seok-Zun ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 211~223
DOI : 10.5831/HMJ.2013.35.2.211
Abstract
We consider permanent function on the faces of the polytope of certain doubly stochastic matrices, whose nonzero entries coincide with those of fully indecomposable square (0, 1)-matrices containing identity submatrix. We determine the minimum permanents and minimizing matrices on the given faces of the polytope using the contraction method.
11
AN APPROACH TO THE PROBLEM OF COMMON POOL RESOURCES THROUGH AN EXTENSION OF THE EQUILIBRIUM CONCEPT
Bae, Jaegug ; Kim, Jongseok ; Kang, Eun Sook ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 225~234
DOI : 10.5831/HMJ.2013.35.2.225
Abstract
Many studies of experimental economics have produced outcomes which contradict the predictions of Nash equilibrium, which relies heavily upon the premise of selfishness of an individual. In the games involving contexts of social conflicts represented by the prisoners' dilemma game, the experiments yields outcomes quite different from what are predicted by the conventional wisdom. In order to fill this gap between the conventional Nash Equilibrium and experimental outcomes, non-selfish (or other-regarding) motives of human behavior are introduced and then a new equilibrium concept, RAE-equilibrium is developed. It is also proved that an RAE-equilibrium exists under quite general conditions. Then it is applied to the prisoners' dilemma game that some of the experimental outcomes can be explained.
12
AN ELIGIBLE KERNEL BASED PRIMAL-DUAL INTERIOR-POINT METHOD FOR LINEAR OPTIMIZATION
Cho, Gyeong-Mi ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 235~249
DOI : 10.5831/HMJ.2013.35.2.235
Abstract
It is well known that each kernel function defines primal-dual interior-point method (IPM). Most of polynomial-time interior-point algorithms for linear optimization (LO) are based on the logarithmic kernel function ([9]). In this paper we define new eligible kernel function and propose a new search direction and proximity function based on this function for LO problems. We show that the new algorithm has
and
iteration complexity for large- and small-update methods, respectively. These are currently the best known complexity results for such methods.
13
ON THE CONVOLUTION SUMS OF CERTAIN RESTRICTED DIVISOR FUNCTIONS
Kim, Daeyeoul ; Kim, Aeran ; Sankaranarayanan, Ayyadurai ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 251~302
DOI : 10.5831/HMJ.2013.35.2.251
Abstract
We study convolution sums of certain restricted divisor functions in detail and present explicit evaluations in terms of usual divisor functions for some specific situations.
14
MINIMAL CLOZ-COVERS OF κX
Jo, Yun Dong ; Kim, ChangIl ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 303~310
DOI : 10.5831/HMJ.2013.35.2.303
Abstract
In this paper, we first show that
is
-irreducible and that if
is a base for closed sets in
, then
is
-embedded in
, where
is the extension of X such that
and
is weakly Lindel
f. Using these, we will show that if
is a base for closed sets in
and for any weakly Lindel
f space Y with
,
, then
if and only if
.
15
HYPONORMALITY OF TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES
Lee, Jongrak ; Lee, Youho ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 311~317
DOI : 10.5831/HMJ.2013.35.2.311
Abstract
In this note we consider the hyponormality of Toeplitz operators
on the Weighted Bergman space
with symbol in the class of functions
with polynomials
and
of degree 2.
16
THE EQUIVALENCE CONDITIONS FOR SEMIALGEBRAICALLY PROPER MAPS
Park, Dae Heui ;
Honam Mathematical Journal, volume 35, issue 2, 2013, Pages 319~327
DOI : 10.5831/HMJ.2013.35.2.319
Abstract
In this paper we compare the notion of proper map in the category of topological spaces with that in the category of semialgebraic sets. To do this, we find some equivalence conditions for semialgebraically proper maps. In particular, we prove that a continuous semialgebraic map is semialgebraically proper if and only if it is proper. Moreover, we compare the semialgebraically proper map with the proper map in the sense of Delfs and Knebush [4].