Volume 4, No. 2, August 2011, Ramadan 1432 H
Articles 


EdgeMaximal C2k+1vertex disjoint Free Graphs
Let k ≥1 be a positive integer and 2 1 ( ; ) k n V G + the class of
graphs on n vertices containing no 2k+1 vertex disjoint cycles. Let
2 1 2 1 ( ; ) max{ ( ): ( ; )} k k f n V ε G G n V + + = ∈G . In this paper we
determine 2 1 ( ; ) k f n V + and characterise the edge maximal members in
2 1 ( ; ) k n V G + for k = 1 and 2.


Mohammad Bataineh
JJMS,
2011,4(2)
79  89

ON SOME PROPERTIES FOR NEW GENERALIZED DERIVATIVE
OPERATOR
Motivated by many wellknown differential operators, we introduce a
new generalized derivative operator and study its characterization properties. In
addition, we determine conditions under which the partial sums of this operator of
bounded turning are also of bounded turning.


AISHA AHMED AMER MASLINA DARUS
JJMS,
2011,4(2)
91  101

EXTREME TYPE POINTS IN CERTAIN BANACH SPACES
In this paper, we introduce a new class of boundary points of the
unit ball of Banach spaces. Such points are very close to being extreme points.
We characterize such points in certain classical Banach spaces and some operator
spaces.


KHALIL, R. SHGAIRAT, KH
JJMS,
2011,4(2) 103
113

ORTHOGONALITY
Orthogonality in inner product spaces can be expresed using the notion
of norms. So many generalization of the concept of orthogonality was made in the
context of Banach spaces. In this paper we introduce a new orthogonality relation
in normed linear spaces, called ®; ¯; °¡ orthogonality wich generalised most of the
known orthogonality. It is shown that ®; ¯; °¡ orthogonality is homogeneus if and
only if the space is a real inner product space.


ABDALLA TALLAFHA
JJMS,
2011,4(2)
115 126

TWODIMENSIONAL SINGULAR FREDHOLM INTEGRAL
EQUATION WITH APPLICATIONS IN CONTACT PROBLEMS
In this paper we discuss the solution of the Twodimensional singular
Fredholm integral equation (TDFIE). The existence of a unique solution of the
TDFIE is discussed and proved using Banach Fixed point theorem. Then, using
Toeplitz matrix method and Product Nystrom method, we obtain a linear algebraic
system of equations (LAS). Some numerical cases, in contact problems when the
kernel takes Cauchy kernel, logarithmic form and Carleman function, are solved.


A. M. ALBUGAMI
JJMS,
2011,4(2)
127
 155

