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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 30, Issue 3 - Jun 2015
Volume 30, Issue 2 - Apr 2015
Volume 30, Issue 1 - Jan 2015
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1
HESITANT FUZZY BI-IDEALS IN SEMIGROUPS
JUN, YOUNG BAE ; LEE, KYOUNG JA ; SONG, SEOK-ZUN ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 143~154
DOI : 10.4134/CKMS.2015.30.3.143
Abstract
Characterizations of hesitant fuzzy left (right) ideals are considered. The notion of hesitant fuzzy (generalized) bi-ideals is introduced, and related properties are investigated. Relations between hesitant fuzzy generalized bi-ideals and hesitant fuzzy semigroups are discussed, and characterizations of (hesitant fuzzy) generalized bi-ideals and hesitant fuzzy bi-ideals are considered. Given a hesitant fuzzy set
on a semigroup S, hesitant fuzzy (generalized) bi-ideals generated by
are established.
2
FILTERS OF RESIDUATED LATTICES BASED ON SOFT SET THEORY
JUN, YOUNG BAE ; LEE, KYOUNG JA ; PARK, CHUL HWAN ; ROH, EUN HWAN ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 155~168
DOI : 10.4134/CKMS.2015.30.3.155
Abstract
Strong uni-soft filters and divisible uni-soft filters in residuated lattices are introduced, and several properties are investigated. Characterizations of a strong and divisible uni-soft filter are discussed. Conditions for a uni-soft filter to be divisible are established. Relations between a divisible uni-soft filter and a strong uni-soft filter are considered.
3
NUMERICAL RANGE AND SOT-CONVERGENCY
ABDOLLAHI, ABDOLAZIZ ; HEYDARI, MOHAMMAD TAGHI ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 169~176
DOI : 10.4134/CKMS.2015.30.3.169
Abstract
A sequence of composition operators on Hardy space is considered. We prove that, by numerical range properties, it is SOT-convergence but not converge.
4
CONVERGENCE THEOREMS FOR A PAIR OF ASYMPTOTICALLY AND MULTIVALUED NONEXPANSIVE MAPPING IN CAT(0) SPACES
AKKASRIWORN, NAKNIMIT ; SOKHUMA, KRITSANA ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 177~189
DOI : 10.4134/CKMS.2015.30.3.177
Abstract
In this paper, we prove
-convergence theorems for Ishikawa iteration of asymptotically and multivalued nonexpansive mapping in CAT(0) spaces. This results we obtain are analogs of Banach spaces results of Sokhuma [13].
5
CERTAIN NEW GENERATING RELATIONS FOR PRODUCTS OF TWO LAGUERRE POLYNOMIALS
CHOI, JUNESANG ; RATHIE, ARJUN KUMAR ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 191~200
DOI : 10.4134/CKMS.2015.30.3.191
Abstract
Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. Exton [13] presented a very general double generating relation involving products of two Laguerre polynomials. Motivated essentially by Exton's derivation [13], the authors aim to show how one can obtain nineteen new generating relations associated with products of two Laguerre polynomials in the form of a single result. We also consider some interesting and potentially useful special cases of our main findings.
6
REMARKS ON NONLINEAR DIRAC EQUATIONS IN ONE SPACE DIMENSION
HUH, HYUNGJIN ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 201~208
DOI : 10.4134/CKMS.2015.30.3.201
Abstract
This paper reviews recent mathematical progresses made on the study of the initial-value problem for nonlinear Dirac equations in one space dimension. We also prove the global existence of solutions to some nonlinear Dirac equations and propose a model problem (3.6).
7
STRONG AND Δ-CONVERGENCE OF A FASTER ITERATION PROCESS IN HYPERBOLIC SPACE
AKBULUT, SEZGIN ; GUNDUZ, BIROL ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 209~219
DOI : 10.4134/CKMS.2015.30.3.209
Abstract
In this article, we first give metric version of an iteration scheme of Agarwal et al. [1] and approximate fixed points of two finite families of nonexpansive mappings in hyperbolic spaces through this iteration scheme which is independent of but faster than Mann and Ishikawa scheme. Also we consider case of three finite families of nonexpansive mappings. But, we need an extra condition to get convergence. Our convergence theorems generalize and refine many know results in the current literature.
8
SPECTRAL CLASSES AND THE PARAMETER DISTRIBUTION SET
BAEK, IN-SOO ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 221~226
DOI : 10.4134/CKMS.2015.30.3.221
Abstract
The natural projection of a parameter lower (upper) distribution set for a self-similar measure on a self-similar set satisfying the open set condition is the cylindrical lower or upper local dimension set for the Legendre self-similarmeasure which is derived from the self-similar measure and the self-similar set.
9
π AND OTHER FORMULAE IMPLIED BY HYPERGEOMETRIC SUMMATION THEOREMS
KIM, YONG SUP ; RATHIE, ARJUN KUMAR ; WANG, XIAOXIA ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 227~237
DOI : 10.4134/CKMS.2015.30.3.227
Abstract
By employing certain extended classical summation theorems, several surprising
and other formulae are displayed.
10
SOME τ-EXTENSIONS OF LAURICELLA FUNCTIONS OF SEVERAL VARIABLES
KALLA, SHYAM LAL ; PARMAR, RAKESH KUMAR ; PUROHIT, SUNIL DUTT ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 239~252
DOI : 10.4134/CKMS.2015.30.3.239
Abstract
Motivated mainly by certain interesting extensions of the
-hypergeometric function defined by Virchenko et al. [11] and some
-Appell's function introduced by Al-Shammery and Kalla [1], we introduce here the
-Lauricella functions
,
and
and the confluent forms
and
of n variables. We then systematically investigate their various integral representations of each of these
-Lauricella functions including their generating functions. Various (known or new) special cases and consequences of the results presented here are also considered.
11
ON DIFFERENTIAL INVARIANTS OF HYPERPLANE SYSTEMS ON NONDEGENERATE EQUIVARIANT EMBEDDINGS OF HOMOGENEOUS SPACES
HONG, JAEHYUN ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 253~267
DOI : 10.4134/CKMS.2015.30.3.253
Abstract
Given a complex submanifoldM of the projective space
(T), the hyperplane system R on M characterizes the projective embedding of M into
(T) in the following sense: for any two nondegenerate complex submanifolds
(T) and
(T'), there is a projective linear transformation that sends an open subset of M onto an open subset of M' if and only if (M,R) is locally equivalent to (M', R'). Se-ashi developed a theory for the differential invariants of these types of systems of linear differential equations. In particular, the theory applies to systems of linear differential equations that have symbols equivalent to the hyperplane systems on nondegenerate equivariant embeddings of compact Hermitian symmetric spaces. In this paper, we extend this result to hyperplane systems on nondegenerate equivariant embeddings of homogeneous spaces of the first kind.
12
A REMARK ON THE CONJUGATION IN THE STEENROD ALGEBRA
TURGAY, NESET DENIZ ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 269~276
DOI : 10.4134/CKMS.2015.30.3.269
Abstract
We investigate the Hopf algebra conjugation,
, of the mod 2 Steenrod algebra,
, in terms of the Hopf algebra conjugation,
, of the mod 2 Leibniz-Hopf algebra. We also investigate the fixed points of
under
and their relationship to the invariants under
.
13
ON MAXIMAL, MINIMAL OPEN AND CLOSED SETS
MUKHARJEE, AJOY ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 277~282
DOI : 10.4134/CKMS.2015.30.3.277
Abstract
We obtain some conditions for disconnectedness of a topological space in terms of maximal and minimal open sets, and some similar results in terms of maximal and minimal closed sets along with interrelations between them. In particular, we show that if a space has a set which is both maximal and minimal open, then either this set is the only nontrivial open set in the space or the space is disconnected. We also obtain a result concerning a minimal open set on a subspace.
14
EXTREMAL ATOM-BOND CONNECTIVITY INDEX OF CACTUS GRAPHS
ASHRAFI, ALI REZA ; DEHGHAN-ZADEH, TAYEBEH ; HABIBI, NADER ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 283~295
DOI : 10.4134/CKMS.2015.30.3.283
Abstract
The atom-bond connectivity index of a graph G (ABC index for short) is defined as the summation of quantities
over all edges of G. A cactus graph is a connected graph in which every block is an edge or a cycle. The aim of this paper is to obtain the first and second maximum values of the ABC index among all n vertex cactus graphs.
15
ROBUST AND ACCURATE METHOD FOR THE BLACK-SCHOLES EQUATIONS WITH PAYOFF-CONSISTENT EXTRAPOLATION
CHOI, YONGHO ; JEONG, DARAE ; KIM, JUNSEOK ; KIM, YOUNG ROCK ; LEE, SEUNGGYU ; SEO, SEUNGSUK ; YOO, MINHYUN ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 297~311
DOI : 10.4134/CKMS.2015.30.3.297
Abstract
We present a robust and accurate boundary condition for pricing financial options that is a hybrid combination of the payoff-consistent extrapolation and the Dirichlet boundary conditions. The payoff-consistent extrapolation is an extrapolation which is based on the payoff profile. We apply the new hybrid boundary condition to the multi-dimensional Black-Scholes equations with a high correlation. Correlation terms in mixed derivatives make it more difficult to get stable numerical solutions. However, the proposed new boundary treatments guarantee the stability of the numerical solution with high correlation. To verify the excellence of the new boundary condition, we have several numerical tests such as higher dimensional problem and exotic option with nonlinear payoff. The numerical results demonstrate the robustness and accuracy of the proposed numerical scheme.
16
H-V -SUPER MAGIC DECOMPOSITION OF COMPLETE BIPARTITE GRAPHS
KUMAR, SOLOMON STALIN ; MARIMUTHU, GURUSAMY THEVAR ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 313~325
DOI : 10.4134/CKMS.2015.30.3.313
Abstract
An H-magic labeling in a H-decomposable graph G is a bijection
such that for every copy H in the decomposition,
is constant. f is said to be H-V -super magic if f(V(G))={1,2,...,p}. In this paper, we prove that complete bipartite graphs
are H-V -super magic decomposable where
with
.
17
OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL GOVERNED BY BELOUSOV-ZHABOTINSKII REACTION MODEL
RYU, SANG-UK ;
Communications of the Korean Mathematical Society, volume 30, issue 3, 2015, Pages 327~337
DOI : 10.4134/CKMS.2015.30.3.327
Abstract
This paper is concerned with the optimality conditions for optimal control problem of Belousov-Zhabotinskii reaction model. That is, we obtain the optimality conditions by showing the differentiability of the solution with respect to the control. We also show the uniqueness of the optimal control.