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The Pure and Applied Mathematics
Journal Basic Information
pISSN :
1226-0657
eISSN :
2287-6081
Journal DOI :
10.7468/jksmeb
Frequency :
Others
Publisher:
Korea Society of Mathematical Education
Editor in Chief :
Volume & Issues
Volume 15, Issue 4 - Nov 2008
Volume 15, Issue 3 - Aug 2008
Volume 15, Issue 2 - May 2008
Volume 15, Issue 1 - Feb 2008
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1
A FUNCTIONAL EQUATION ON HOMOGENEOUS POLYNOMIALS
Bae, Jae-Hyeong ; Park, Won-Gil ;
The Pure and Applied Mathematics, volume 15, issue 2, 2008, Pages 103~110
Abstract
In this paper, we obtain the general solution and the stability of the cubic functional equation f(2x + y, 2z + w) + f(2x - y, 2z - w) = 2f(x + y, z + w) + 2f(x - y, z - w) + 12f(x, z). The cubic form
is a solution of the above functional equation.
2
ON THE CONVERGENCE OF NEWTON'S METHOD AND LOCALLY
OPERATORS
Argyros, Ioannis K. ;
The Pure and Applied Mathematics, volume 15, issue 2, 2008, Pages 111~120
Abstract
A semi local convergence analysis is provided for Newton's method in a Banach space setting. The operators involved are only locally Holderian. We make use of a point-based approximation and center-Holderian hypotheses. This approach can be used to approximate solutions of equations involving nonsmooth operators.
3
COVERING COVER PEBBLING NUMBER OF A HYPERCUBE & DIAMETER d GRAPHS
Lourdusamy, A. ; Tharani, A. Punitha ;
The Pure and Applied Mathematics, volume 15, issue 2, 2008, Pages 121~134
Abstract
A pebbling step on a graph consists of removing two pebbles from one vertex and placing one pebble on an adjacent vertex. The covering cover pebbling number of a graph is the smallest number of pebbles, such that, however the pebbles are initially placed on the vertices of the graph, after a sequence of pebbling moves, the set of vertices with pebbles forms a covering of G. In this paper we find the covering cover pebbling number of n-cube and diameter two graphs. Finally we give an upperbound for the covering cover pebbling number of graphs of diameter d.
4
COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES
Sharma, Sushil ; Deshpande, Bhavana ; Tiwari, Rashmi ;
The Pure and Applied Mathematics, volume 15, issue 2, 2008, Pages 135~151
Abstract
The purpose of this paper is to prove some common fixed point theorems for finite number of discontinuous, noncompatible mappings on non complete Menger spaces. Our results extend, improve and generalize several known results in Menger spaces. We give formulas for total number of commutativity conditions for finite number of mappings.
5
MODIFIED HYERS-ULAM STABILITY OF A JENSEN TYPE QUARTIC FUNCTIONAL EQUATION
Kim, Hark-Mahn ; Ko, Hoon ; Son, Eun-Young ;
The Pure and Applied Mathematics, volume 15, issue 2, 2008, Pages 153~161
Abstract
In the present paper we introduce a Jensen type quartic functional equation and then investigate the generalized Hyers-Ulam stability problem for the equation.
6
CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENCE OF THE UPPER RECORD VALUES
Chang, Se-Kyung ; Lee, Min-Young ;
The Pure and Applied Mathematics, volume 15, issue 2, 2008, Pages 163~167
Abstract
This paper presents characterizations of the Weibull distribution by the independence of record values. We prove that
, if and only if
and
for
are independent or
and
for
are independent. And also we establish that
, if and only if
and
for
are independent.
7
SOLUTION AND STABILITY OF AN EXPONENTIAL TYPE FUNCTIONAL EQUATION
Lee, Young-Whan ; Kim, Gwang-Hui ; Lee, Jae-Ha ;
The Pure and Applied Mathematics, volume 15, issue 2, 2008, Pages 169~178
Abstract
In this paper we generalize the superstability of the exponential functional equation proved by J. Baker et al. [2], that is, we solve an exponential type functional equation
and obtain the superstability of this equation. Also we generalize the stability of the exponential type equation in the spirt of R. Ger[4] of the following setting
8
JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I
Kim, Byung-Do ;
The Pure and Applied Mathematics, volume 15, issue 2, 2008, Pages 179~201
Abstract
Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation
such that
or
for all
. In this case, we have
.
9
GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES WITH CORRESPONDING NON-SMOOTH VECTOR OPTIMIZATION PROBLEMS
Lee, Byung-Soo ;
The Pure and Applied Mathematics, volume 15, issue 2, 2008, Pages 203~207
Abstract
In [1], Mishra and Wang established relationships between vector variational-like inequality problems and non-smooth vector optimization problems under non-smooth invexity in finite-dimensional spaces. In this paper, we generalize recent results of Mishra and Wang to infinite-dimensional case.