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Volume 3, No. 2, August 2010, Ramadan 1431 H

  Articles

 

 

FIXED POINT RESULTS ON A NONSYMMETRIC G- METRIC SPACES

We prove some xed point results for mappings that satisfy certain contractive conditions on a nonsymmetric complete G-metric space. Moreover, we prove the uniqueness of these xed point results.

 

 

HAMED OBIEDAT
ZEAD MUSTAFA

JJMS, 2010,3(2)  65-79

CHARACTERIZATIONS OF NEARLY LINDEL¨OF SPACES

A topological space (X; ¿ ) is said to be nearly Lindel¨of if every regular open cover of (X; ¿ ) admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of nearly Lindel¨of spaces.

 

 

AHMAD AL-OMARI
TAKASHI NOIRI

JJMS, 2010,3(2)  81-92

APPROXIMATE SOLUTIONS TO NONLINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH APPLICATIONS IN HEAT FLOW

In this paper, two different methods based on variational iteration method (VIM) and on differential transform method (DTM) are developed to approximate solutions of some partial integro-differential equations with applications in heat flow.

 

 

MARWAN T. ALQURAN
KAMEL M. AL-KHALED 

JJMS, 2010,3(2)  93-116

REMOTAL SETS IN THE SPACE OF P-INTEGRABLE FUNCTIONS

Let X be a Banach space and G be a closed bounded subset of X: For x 2 X; we set ½ (x;G) = sup fkx ¡ yk : y 2 Gg : The set G is called remotal if for any x 2 X; there exists g 2 G such that ½ (x;G) = kx ¡ gk : In this paper we show that for a separable remotal set G ½ X, the set of p-Bochner integrable functions, Lp(I;G) is in remotal Lp(I;X): Some other results are presented. 

 

 

SH. AL-SHARIF

JJMS, 2010,3(2)  117-126

ON THE DIAMETER OF ZERO-DIVISOR GRAPHS OF IDEALIZATIONS WITH RESPECT TO INTEGRAL DOMAIN

Let R be a ring with unity and let M be an R - module. Let R(+)M be the idealization of the ring R by the R - module M. In this paper, we give new results on the diameter of ¡(R(+)M) when R is an integral domain.

 

 

MANAL AL-LABADI

JJMS, 2010,3(2)  127-131