loading

Category: Issue 2

Generalized common fixed point theorem in intuitionistic fuzzy metric space

Sanjay Choudhary
Department of Mathematics, Govt. Narmada PG College, Hoshangabad (INDIA)
Lalit Kumar Sharma
Department of Mathematics, Govt. Narmada PG College, Hoshangabad (INDIA)
Brijendra Kumar Tiwari
Department of Mathematics, Govt. Narmada PG College, Hoshangabad (INDIA)

ABSTRACT:

The aim of this paper is to obtain a new common fixed point theorem in intuitionistic fuzzy metric space. Our theorem is a generalization of result of M.S. Chouhan, et al. 4 in i intuitionistic fuzzy metric space.

KEYWORDS: intuitionistic fuzzy metric space, fuzzy metric space, common fixed point, continuous maps, weakly commuting maps


The aim of this paper is to obtain a new common fixed point theorem in intuitionistic fuzzy metric space. Our theorem is a generalization of result of M.S. Chouhan, et...

Mixed Type (0, 1,3)-Interpolation on Unit Circle

K.K. MATHUR
Department of Mathematics and Astronomy, Lucknow University, Lucknow 226007 (INDIA)
S. BAHADUR
Department of Mathematics and Astronomy, Lucknow University, Lucknow 226007 (INDIA)

ABSTRACT:

Let

zo = 1, z2n+1 = – 1, zk = cos ¢k + i sin ¢k

z n+k =zk k = 1(1) n

be the vertical projections on unit circle of the zeros of (1-x2) Pn (x), where Pn (x) stands for nth Legendre polynomial having zeros xk = cos ¢k, k = 1(1) n such that 1 > x1 > … > xn > – 1. In this paper, we obtain regularity, explicit representation and convergence of mixed type (0, 1, 3)-interpolation on unit circle.

KEYWORDS: Interpolation , on Unit Circle


Let zo = 1,           z2n+1 = – 1,                          zk = cos ¢k + i sin ¢k z n+k =zk ...

Heat and mass transfer effects on MHD free convection flow past an oscillating plate embedded in porous medium

G.V. Ramana Reddy
Department of applied Mathematics, Laki Reddy Bali Reddy, College of Engineering MYLAVARAM – 521230, Andhra Pradesh (INDIA)
N. Bhaskar Reddy
Department of Mathematics Sri Venkateswara Universtiy, Tirupathi – 517502 , AP (India)
Ch. V. Ramana Murthy
Department of Mathematics Sri Venkateswara Universtiy, Tirupathi – 517502 , AP (India)

ABSTRACT:

The aim of the present analysis is to examine the magnetic and mass diffusion effects on the free convection flow when the plate is made to oscillate with a specified velocity. It is assumed that the plate is embedded in the porous medium. It is noticed that as the `Sc’ increases the velocity field decreases. Further, it is observed that on the boundary (y = 0) the Schmidt number does not have any effect, while as we move far away from the plate the effect is found to be significant. Also, it is found to be oscillatory in this nature as we move far away from the plate. It is noticed that `Pr’ number is increased the velocity field decreases almost exponentially when Pr = 0.71. However, in all other cases the effect is found to be oscillatory as we move far away from the plate. It is noticed that as `Sc’ increases the concentration is found to be decreasing. When the applied magnetic effect is held constant and as Pr increases an increasing trend in the skin friction is noticed.

KEYWORDS: convection flow, magnetic effect, porous medium, concentration


The aim of the present analysis is to examine the magnetic and mass diffusion effects on the free convection flow when the plate is made to oscillate with a...

A study on rlc smoothing circuit using the single-term Haar wavelet series technique

S. Sekar (sekar-nitt@rediffmail.com)
Department of mathematics A.V.C., College, (Autonomous) Mannapandal, Mayiladuthurai – 609 305 Tamil Nadu (INDIA)
G. Balaji
Department of mathematics J.K.K. Nataraja College of Engineering & Technology, Komarapalayam – 638 183 Tamil Nadu (INDIA)

ABSTRACT:

This paper presents a study on RLC smoothing circuits using single-term Haar Wavelet series (STHW) technique and fourth order Runge-Kutta method (RK). The solution is obtained both in exact and discrete form. The results are compared with the results obtained by Palanisamy et al.4. Here, it is suggested that when the output of a digital to analogue converter is a staircase function, one has to introduce the initial condition at every subinterval for the given range to achieve accurate results.

KEYWORDS: Runge-Kutta methods, state-space equation, Haar Wavelets, single-term Haar Wavelet series


This paper presents a study on RLC smoothing circuits using single-term Haar Wavelet series (STHW) technique and fourth order Runge-Kutta method (RK). The solution is obtained both in exact...

Effect of critical parameters on the flow past a semi infinite moving vertical plate with viscous dissipation

Ch.V. Ramana Murthy
Lakireddy Balireddy College of Engineering, Mylavaram – 521 230 (INDIA)
K.V. Chandra Sekhar
K.L. University, Vaddeshwaram – 522 502 (INDIA)

ABSTRACT:

The objectives of the present study is to investigate the nature of the velocity field of an unsteady heat and mass transfer flow of a chemically reacting fluid past a semi infinite vertical plate with viscous dissipation. The method of the solution is valid only for small perturbation approximation. Results for the velocity field and the effect of various critical parameters are illustrated graphically. It is noticed that as Schmidt number increases the velocity field is found to be decreasing and after at a certain distance away from the plate , reverse trend is noticed. It is observed that at certain stage backward flow is noticed, and there exist a situation where (irrespective of value of Schmidt number) the velocity is constant. It is seen that profiles for velocity field are found to be more parabolic and subsequently, the parabolic nature is being lost as Schmidt number increases. Also, as time increases the velocity increases when Solutal Grashof number is maintained at 0.80. Initially as chemical reaction parameter increases, the velocity field increases and as we move far away from plate a reverse trend is noticed and also a backward flow is observed. At a very small interval of time (t = 2.50) the backward flow can be attributed due to the increased concentration of the fluid medium. An interesting observation is that, initially as Solutal Grashof number increases the velocity field increases and thereafter as we move far away from the plate a reverse effect is noticed.

KEYWORDS: Heat transfer, viscous dissipation, Radiation, Concentration


The objectives of the present study is to investigate the nature of the velocity field of an unsteady heat and mass transfer flow of a chemically reacting fluid past...

Some Improved Spherical Collapse Model

R.C. Upadhyay
Department of Mathematics, R.S.K.D. P.G. College, Jaunpur (UP) INDIA
R.H. Singh
Department of Mathematics, R.S.K.D. P.G. College, Jaunpur (UP) INDIA

ABSTRACT:

Taking into account the effects of shear and angular momentum we present the evolution of nonlinear density perturbations of the system. Starting from the standard spherical collapse model in which these terms are left we present a physically motivated condition which specifies the dependence of these term on µ. The new idea is a Taylor series expansion in (1/µ) to model the nonlinear epoch, and it leads to the formation of stable structures in which the gravitational collapse is halted at around the virial radius.

KEYWORDS: Angular momentum, Collapse, Shear


Taking into account the effects of shear and angular momentum we present the evolution of nonlinear density perturbations of the system. Starting from the standard spherical collapse model in...

Study Of Fuzzy Quasi Connectedness and its Stronger form in Fuzzy Bitopological Space

R.S. Chandel
Prof. & Head Govt. Geetanjali Girls College, Bhopal – M.P. (INDIA)
Vijay Gupta
Reade, UIT, Rajiv Gandhi Prodhyogiki Vishwavidhyala, Bhopal (M.P) INDIA
Akhlak Mansuri
Asst. Pro. Kailash Chandra Bansal College of Technology, Bhopal (M.P.) INDIA

ABSTRACT:

The purpose of this paper is to introduce and study the concept of fuzzy quasi connectedness and its stronger form in fuzzy bitopological space.

KEYWORDS: Fuzzy Bitopological space, fuzzy strongly quasi connectedness, fuzzy quasi open, fuzzy quasi closed, fuzzy weakly quasi disconnectedness


The purpose of this paper is to introduce and study the concept of fuzzy quasi connectedness and its stronger form in fuzzy bitopological space.

Common Fixed Point Theorems in Complete L-Fuzzy Metric Spaces

Kailash Kumar Namdeo
Prof. & Head Department of Mathematics, Govt Commerce and Science, Benazir College, Bhopal (M.P.) INDIA
Rajesh Shrivastava
Prof. & Head Department of Mathematics, Govt Commerce and Science, Benazir College, Bhopal (M.P.) INDIA
Manoj Sharma
Sagar Institute of Research & Technology, Bhopal (M.P.) INDIA

ABSTRACT:

The notion of fuzzy sets was introduced by Zadeh. Many authors5,6,8,9 have studied fixed point theory in fuzzy metric spaces. In the sequel, we shall adopt the usual terminology, notation and conventions of L-fuzzy metric spaces introduced by Saadati11,12 which are a generalization of fuzzy metric spaces and intuitionistic fuzzy2 metric spaces. In this paper we prove a common fixed point theorem in L Fuzzy Metric Space which is generalization of result in Adibi et.al.1

KEYWORDS: Fuzzy Metric Spaces, Intuitionistic Fuzzy metrics spaces, L Fuzzy metric spaces


The notion of fuzzy sets was introduced by Zadeh. Many authors5,6,8,9 have studied fixed point theory in fuzzy metric spaces. In the sequel, we shall adopt the usual terminology, notation...

Edge Gracefulness of Bicycle graphs

S. Venkatesan
Research Scholar, Dravidian University
R. Sattanathan
Reader & Head PG & Research, Deptt. of Mathematics D.G. Vaishnav College, (Autonomous) Chennai (INDIA)

ABSTRACT:

Graceful labeling is assignment of distinct labels from f {0,…., |E|} to vertices of graph, where edges are labeled by difference of absolute values of adjacent vertices and every label from f {1,2,….,|E|} is used exactly once as an edge label. The edge gracefulness is reversal of gracefulness. It involves labeling edges, rather than vertices, with an induced numbering consisting of sums of edge- labels, rather than differences of vertex labels. It is still not known, if every tree has a graceful labeling. In this paper, we are discussing about the edge graceful labeling of bicycle graphs and its uniqueness.

KEYWORDS: graph labeling, graceful labeling, edge - graceful labeling, bicycle graph


Graceful labeling is assignment of distinct labels from f {0,…., |E|} to vertices of graph, where edges are labeled by difference of absolute values of adjacent vertices and every label from f...

On decomposition of recurrent curvature tensor fields in a Kaehlerian manifold

U.S. Negi (usnegi7@gmail.com)
Department of Mathematics, H,N,B, Garhwal University, Campus Badsahi Thaul, Tehri Garhwal – 249 199 (Uttarakhand) INDIA)
Ashish Semwal
Department of Mathematics, H,N,B, Garhwal University, Campus Badsahi Thaul, Tehri Garhwal – 249 199 (Uttarakhand) INDIA)

ABSTRACT:

Takano1 has studied decomposition of curvature tensor in a recurrent space; Sinha and Singh4 have studied on decomposition of recurrent curvature tensor fields in Finsler space. Sinha2 has studied on H-curvature tensors in Kaehler manifold. Further, Singh5 has studied on decomposition of recurrent curvature tensor fields in a Kaehlerian space. Also, Singh and Petwal9 have studied on decomposition of curvature tensor fields in Tachibana recurrent spaces. In the present paper, we have considered the decomposition of curvature tensor field Rhijk in terms of a vector field and two tensor fields and several other theorems have been derived.

KEYWORDS: Riemannian, Kaehlerian, H-projective, curvature tensors, recurrent space


Takano1 has studied decomposition of curvature tensor in a recurrent space; Sinha and Singh4 have studied on decomposition of recurrent curvature tensor fields in Finsler space. Sinha2 has studied on H-curvature tensors...