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Korean Journal of Mathematics
Journal Basic Information
pISSN :
1976-8605
eISSN :
2288-1433
Journal DOI :
10.11568/kjm
Frequency :
Others
Publisher:
The Kangwon-Kyungki Mathematical Society
Editor in Chief :
Gi-Sang Cheon
Volume & Issues
Volume 24, Issue 2 - Jun 2016
Volume 24, Issue 1 - Mar 2016
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1
INCLUSION PROPERTIES OF A CLASS OF FUNCTIONS INVOLVING THE DZIOK-SRIVASTAVA OPERATOR
Devi, Satwanti ; Srivastava, H.M. ; Swaminathan, A. ;
Korean Journal of Mathematics, volume 24, issue 2, 2016, Pages 139~168
DOI : 10.11568/kjm.2016.24.2.139
Abstract
In this work, we rst introduce a class of analytic functions involving the Dziok-Srivastava linear operator that generalizes the class of uniformly starlike functions with respect to symmetric points. We then establish the closure of certain well-known integral transforms under this analytic function class. This behaviour leads to various radius results for these integral transforms. Some of the interesting consequences of these results are outlined. Further, the lower bounds for the ratio between the functions f(z) in the class under discussion, their partial sums
and the corresponding derivative functions f'(z) and
are determined by using the coecient estimates.
2
FIXED POINT THEOREMS IN ORDERED DUALISTIC PARTIAL METRIC SPACES
Arshad, Muhammad ; Nazam, Muhammad ; Beg, Ismat ;
Korean Journal of Mathematics, volume 24, issue 2, 2016, Pages 169~179
DOI : 10.11568/kjm.2016.24.2.169
Abstract
In this article, we introduce the concept of ordered dualistic partial metric spaces and establish an order relation on quasi dualistic partial metric spaces. Later on, using this order relation, we prove xed point theorems for single and multivalued mappings. We support our results with some illustrative examples.
3
SYSTEM OF GENERALIZED NONLINEAR REGULARIZED NONCONVEX VARIATIONAL INEQUALITIES
Salahuddin, Salahuddin ;
Korean Journal of Mathematics, volume 24, issue 2, 2016, Pages 181~198
DOI : 10.11568/kjm.2016.24.2.181
Abstract
In this work, we suggest a new system of generalized nonlinear regularized nonconvex variational inequalities in a real Hilbert space and establish an equivalence relation between this system and fixed point problems. By using the equivalence relation we suggest a new perturbed projection iterative algorithms with mixed errors for finding a solution set of system of generalized nonlinear regularized nonconvex variational inequalities.
4
A RESOLVENT APPROACH FOR SOLVING A SET-VALUED VARIATIONAL INCLUSION PROBLEM USING WEAK-RRD SET-VALUED MAPPING
Ahmad, Iqbal ; Ahmad, Rais ; Iqbal, Javid ;
Korean Journal of Mathematics, volume 24, issue 2, 2016, Pages 199~213
DOI : 10.11568/kjm.2016.24.2.199
Abstract
The resolvent operator approach of [2] is applied to solve a set-valued variational inclusion problem in ordered Hilbert spaces. The resolvent operator under consideration is called relaxed resolvent operator and we demonstrate some of its properties. To obtain the solution of a set-valued variational inclusion problem, an iterative algorithm is developed and weak-RRD set-valued mapping is used. The problem as well as main result of this paper are more general than many previous problems and results available in the literature.
5
INTERACTIVE DYNAMICS IN A BISTABLE ATTRACTION-REPULSION CHEMOTAXIS SYSTEM
Ham, YoonMee ; Lee, Sang-Gu ;
Korean Journal of Mathematics, volume 24, issue 2, 2016, Pages 215~233
DOI : 10.11568/kjm.2016.24.2.215
Abstract
We consider a bistable attraction-repulsion chemotaxis system in one dimension. The study in this paper asserts that conditions for chemotactic coefficients for attraction and repulsion to show existence of stationary solutions and Hopf bifurcation in the interfacial problem as the bifurcation parameters vary are obtained analytically.
6
GENERALIZED WAVELETS AND THE GENERALIZED WAVELET TRANSFORM ON ℝ
^{d}
FOR THE HECKMAN-OPDAM THEORY
Hassini, Amina ; Maalaoui, Rayaane ; Trimeche, Khalifa ;
Korean Journal of Mathematics, volume 24, issue 2, 2016, Pages 235~271
DOI : 10.11568/kjm.2016.24.2.235
Abstract
By using the Heckman-Opdam theory on
given in [20], we define and study in this paper, the generalized wavelets on
and the generalized wavelet transform on
, and we establish their properties. Next, we prove for the generalized wavelet transform Plancherel and inversion formulas.
7
SOME TRACE INEQUALITIES FOR CONVEX FUNCTIONS OF SELFADJOINT OPERATORS IN HILBERT SPACES
Dragomir, Silvestru Sever ;
Korean Journal of Mathematics, volume 24, issue 2, 2016, Pages 273~296
DOI : 10.11568/kjm.2016.24.2.273
Abstract
Some new trace inequalities for convex functions of self-adjoint operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated. Some trace inequalities for matrices are also derived. Examples for the operator power and logarithm are presented as well.
8
A FIXED POINT APPROACH TO THE STABILITY OF THE FUNCTIONAL EQUATION RELATED TO DISTANCE MEASURES
Shiny, Hwan-Yong ; Kim, Gwang Hui ;
Korean Journal of Mathematics, volume 24, issue 2, 2016, Pages 297~305
DOI : 10.11568/kjm.2016.24.2.297
Abstract
In this paper, by using fixed point theorem, we obtain the stability of the following functional equations
, where G is a commutative semigroup,
a function and f, g, h are functionals on
.