Category: Issue 2

ABSTRACT:

In this paper we worked out fixed point theorem for fuzzy mapping on Hilbert space.

KEYWORDS: fuzzy mapping, Hilbert space, fixed point, approximate quantity.

ABSTRACT:

Cosmological models with variable gravitational constant (G) and bulk viscosity in C-field cosmology for flat FRW space-time are investigated. To get the deterministic model of the universe, we have assumed G = Rn where R is the scale factor and n is a constant. Under this assumption, we have investigated two C-field cosmological models for two cases: (i)  = constant, (ii)  = constant, R 3R  where  is the coefficient of bulk viscosity,  the expansion in the model. The physical and geometrical aspects of the models and the effect of bulk
viscosity related with the observation are discussed.

KEYWORDS: C-field Cosmology, bulk viscosity, variable G PACS Nos.: 98.80. Cq, 98.80. Hw.

ABSTRACT:

Binormal operator: We say that an operator T on a Hilbert
Space H is bi-normal if TT* and T*T commute
i.e [T*T, TT*] = 0
I.e T*T TT* = TT*T*T = 0
Where T* is the ad joint of T
Quasi normal operator : We say that an operator T on a Hilbert
Space H is quasi normal operator if T and T*T commute
i.e [T , T*T] = 0
I.e TT*T = T*TT
Quasi– P-normal operator : An operator T on a Hilbert Space
H is said to be quasi P-normal operator if T+T* and T*T Commute
i.e [T+T* , T*T] = 0
I.e (T+T*) T*T = T*T(T+T*)
I.e TT*T+ T*T*T = T*TT+T*TT*

KEYWORDS: Quasi normal operator,Binormal operator,Hilbert Space

ABSTRACT:

Present paper is concerned with the oscillatory motion of conducting visco-elastic [Oldroyd (1958) model] liquid of first order through porous medium between two infinite flat plates both of which execute simple harmonic motion in the plane of plates with different amplitudes and frequencies under the influence of an uniform magnetic field applied perpendicular to the flat plates. Some particular cases have also been discussed in detail.

KEYWORDS: visco-elastic liquid

ABSTRACT:

In the present work, The authors describe two types of problem. One is the vehicle routing problem with time windows and the second problem is the pickup and delivery problem with time windows. for Optimization we use dynamic programming and branch and bound method. They will not be able to solve large-scale problems. So, we review three types of approximation algorithms. Construction methods try to build a feasible solution starting from the raw data. Iterative improvement methods start from a feasible solution and seek to improve it through a sequence of local modifications. Incomplete optimization methods use a combination of enumeration of the solution space and heuristic rules.

KEYWORDS: Vehicle Routing, Time Windows, Raw Data

ABSTRACT:

In this paper we have proved some common fixed point theorems for the class of four non compatible mappings in fuzzy
metric spaces. These results are proved without exploiting the notion of continuity and without imposing any condition on t-norm.

KEYWORDS: fuzzy metric spaces

ABSTRACT:

The asymptotic estimate for the expected number of real zeros of a random
algebraic polynomial Qn ( x ,  ) =
j
n
j
j x
j
n
a
1 / 2
0
) ( 

Where the coefficients () j a are independently normally distributed
random variables defined on a probability space ( , F, P ) ,   
is known. In this paper we provide the asymptotic value for the expected
number of zeros of the integration of Qn (x, ) with respect to x.

KEYWORDS: Random algebraic polynomial, Expected number of zeroes 2010 AMS Subject classification: Primary 34F60 , Secondary 30B20

ABSTRACT:

n the study of HIV infection the progression of the disease takes place with the passage of time. This is due to the increasing the antigenic diversity level of the Retrovirus. As and when the total antigenic diversity crosses a threshold level, the sero conversion takes place. The threshold itself is considered to be a random variable. In this paper assuming that the antigenic diversity threshold satisfies the property known as Setting the Clock Back to Zero (SCBZ) property, the
expected time to sero conversion and its variance are derived. The results are augumented with suitable numerical illustrations.

KEYWORDS: HIV infection,stochastic model,variable threshold

ABSTRACT:

In this Paper, we have obtained the integrability conditions for a generalized almost contact manifold some related result have also been discussed.

KEYWORDS: Integrability,contact manifold