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By
Dumitru, Dan
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The aim of this paper is to establish a necessary and sufficient condition for the attractor of an infinite iterated function system to be a dendrite. In that sense, we will consider the associated graph of an attractor and prove that, in some conditions, the attractor is a dendrite if and only if the associated graph is an infinite tree.
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By
Mukhopadhyay, Swati
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4 Citations
This paper presents the distribution of solute undergoing first order chemical reaction in axisymmetric laminar boundary layer flow towards a stretching cylinder embedded in porous medium. Similarity transformations are used to convert the partial differential equations corresponding to the momentum and concentration equations into highly nonlinear ordinary differential equations. Numerical solutions of these equations are obtained by shooting method. It is found that velocity decreases with increasing permeability parameter. The skin friction as well as the mass transfer rate at the surface is larger for a cylinder compared to a flat plate.
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By
Majhi, Pradip
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The object of the present paper is to study Weyl semisymmetric submanifolds satisfying Chen’s equality in a Euclidean space.
By
Shehu, Yekini
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2 Citations
In this paper we prove strong convergence result for a problem of finding a point which minimizes a proper convex lowersemicontinuous function f which is also a fixed point of a total asymptotically strict pseudocontractive mapping such that its image under a bounded linear operator A minimizes another proper convex lowersemicontinuous function g in real Hilbert spaces. In our result in this work, our iterative scheme is proposed with a way of selecting the stepsize such that its implementation does not need any prior information about the operator norm A because the calculation or at least an estimate of the operator norm A is very difficult, if it is not an impossible task. Our result complements many recent and important results in this direction.
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By
Bhargavi, Y.; Eswarlal, T.
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The concept of vague semiprime ideal of a
$$\Gamma $$
semiring with membership and nonmembership functions taking the values in unit interval of real numbers are introduced and investigated some results.
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By
Raza, Mohd Arif; Rehman, Nadeem Ur
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Let R be a prime ring of characteristic different from two with center Z(R). In the present paper we study the case when a generalized derivation F associated with a nonzero derivation d of R satisfies
$$[F([x, y]_k), [x, y]_k]\in Z(R)$$
for all x, y in some appropriate subset of R, where k is a fixed positive integer. We obtain a description of the structure of R and information on the form of F in terms of the standard identity
$$s_4$$
and the multiplication by the specific element from the extended centroid.
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By
Mehdi, Alveera; Sikander, Fahad; Naji, Sabah A. R. K.
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2 Citations
A
$$QTAG$$
module
$$M$$
over an associative ring
$$R$$
with unity is
$$k$$
projective if
$$H_k(M)=0$$
and for a limit ordinal
$$\sigma ,$$
it is
$$\sigma $$
projective if there exists a submodule
$$N$$
bounded by
$$\sigma $$
such that
$$M/N$$
is a direct sum of uniserial modules.
$$M$$
is totally projective if it is
$$\sigma $$
projective for all limit ordinals
$$\sigma .$$
If
$$\alpha $$
denotes the class of all
$$QTAG$$
modules
$$M$$
such that
$$M/H_\beta (M)$$
is totally projective for every ordinal
$$\beta <\alpha ,$$
then these modules are called
$$\alpha $$
modules. Here we study these
$$\alpha $$
modules and generalize the concept of basic submodules as
$$\alpha $$
basic submodules. It is found that every
$$\alpha $$
module
$$M$$
contains an
$$\alpha $$
basic submodule and any two
$$\alpha $$
basic submodules of
$$M$$
are isomorphic. A submodule
$$L$$
of an
$$\alpha $$
module is
$$\alpha $$
large if
$$M=L+B,$$
for any
$$\alpha $$
basic submodule
$$B$$
of
$$M.$$
Many other interesting properties of
$$\alpha $$
basic,
$$\alpha $$
large and
$$\alpha $$
modules are studied.
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By
Deo, Naokant; Dhamija, Minakshi
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In the present paper, we study modified Szász–Durrmeyer positive linear operators involving Charlier polynomials, one of the discrete orthogonal polynomials which are generalization of Szász Durrmeyer operators. Also, King type modification of these operators is given. We obtain uniform convergence of our operators with the help of Korovkin theorem, asymptotic formula and the order of approximation by using classical modulus of continuity.
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By
Sermé, Abdramane
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Solving an ill conditioned linear system
$$Ax = b$$
is a central problem in matrix computations. We solved the ill conditioned linear system
$$Ax = b$$
using the preconditioning method and the Schur aggregation approach. The Schur aggregation is a process of transforming the linear system
$$Ax = b$$
into better conditioned linear systems of small sizes, with well conditioned matrices
$$V^HC^{1}$$
,
$$C^{1}U$$
, and
$$S = I_{r}  V^HC^{1}U$$
using the Sherman–Morrison–Woodbury formula
$$A^{1}=(CUV^H)^{1}=C^{1}+C^{1}U(I_rV^HC^{1}U)^{1}V^HC^{1}$$
. We used the technique of extended iterative refinement or improvement algorithm to compute the Schur aggregate
$$S = I_{r}  V^HC^{1}U$$
with high precision. In this paper we provide an extensive backward error analysis of the algorithm also we calculate a bound of the backward error.
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By
Kumar, Rajneesh; Taneja, Divya; Kumar, Kuldeep
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In the present paper propagation of plane waves in swelling porous medium (SP) is studied. The phase velocity and attenuation coefficients of these waves are computed numerically and presented graphically. The results so obtained have been compared to without swelling porous elastic medium (EL). The fundamental solution of the system of differential equations in swelling porous medium in case of steady oscillations in terms of elementary functions has been constructed. Some basic properties are established and particular case of interest is also deduced.
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