## Volume 4 (2016)Article in Press

ISSUE 2 − A ISSUE 2 − B ISSUE 2 − C
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 Article Type : Research Article Title : An Efficient Estimator for Estimating Population Variance in Presence of Measurement Errors Country : India Authors : Sheela Misra || Dharmendra Kumar Yadav || Dipika

Abstract: The present paper advocates the problem of estimating finite population variance when the measurement errors are present in both the study variable and the auxiliary variable. Bias and Mean Square Error (MSE) of the proposed estimator is obtained up to first order of approximation. Theoretical efficiency comparison between usual variance estimator and the proposed estimator is also made under measurement errors. Theoretical results are supported by simulation study using R software.

Keywords: Variance, Measurement Errors, Bias, MSE, Efficiency, Simulation, R software.

Dharmendra Kumar Yadav
Department of Statistics, University of Lucknow, Lucknow, India.
E-mail: dkumar.yadava@gmail.com

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 Article Type : Research Article Title : Supra $\alpha$-Locally Closed Sets and Supra $\alpha$-Locally Continuous Functions in Supra Topological Spaces Country : India Authors : S. Dayana Mary || N. Nagaveni

Abstract: The aim of this paper is to introduce a new type of sets called supra $\alpha$-locally closed sets and new type of functions called supra $\alpha$-locally continuous functions. Furthermore, we obtain some of their properties.

Keywords: S-$\alpha$-LC sets, S-$\alpha$-LC* sets, S-$\alpha$-LC** sets, S-$\alpha$-L-continuous and S-$\alpha$-L-irresolute.

S. Dayana Mary
Department of Mathematics, Coimbatore Institute of Technology, India.
E-mail:

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 Article Type : Research Article Title : Generalized Kothe-Toeplitz Dual of Some Geometric Difference Sequence Spaces Country : India Authors : Shadab Ahmad Khan || Ashfaque A. Ansari

Abstract: Cengin T\"{u}rkmen and F. Ba\c{s}ar [2] have some basic results on the sets of sequences with geometric calculus. K. Boruah, Bipan Hazarika and Mikail Et [1] have generalized geometric difference sequence spaces and its dual. In this paper we have introduce concept of $\eta-$duals and determine $\eta$-duals of some geometric difference sequence spaces.

Keywords: $\eta\mathrm{-}\mathrm{\ }$duals, geometric difference sequence spaces ${\ell }_{G_8}\left({\Delta }^m_G\ \right),\ \ c^G\left({\Delta }^m_G\right)\ and\ \ c^G_{0\ }\left({\Delta }^m_G\right)$, geometric complex numbers.

Shadab Ahmad Khan
Department of Mathematics and Statistics, D. D. U. Gorakhpur University, Gorakhpur, India.
E-mail: sakhanan15@gmail.com

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 Article Type : Research Article Title : Thermal Radiation and Viscous Dissipation Effects on Mhd Heat and Mass Difussion Flow Past a Surface Embedded in a Porous Medium With Chemical Reaction Country : India Authors : B. Prabhakar Reddy || Jefta Sunzu

Abstract: The present paper deals with thermal radiation effects on the transient hydro-magnetic natural convection flow past a vertical plate embedded in a porous medium with mass diffusion and fluctuating temperature about time at the plate, by taking account the heat due to viscous dissipation in the presence of chemical reaction. The governing equations are solved numerically by Ritz finite element method. The effects of various parameters entered into the equations of momentum, energy and concentration are evaluated numerically and plotted graphically, while numerical values of variations in skin-friction, rate of heat transfer in terms of Nusselt number at the plate are presented in tabular form. The results of the study are discussed.

Keywords: Natural convection, Thermal radiation, MHD, chemical reaction, porous medium, viscous dissipation.

B. Prabhakar Reddy
Department of S&H, Geethanjali College of Engineering and Technology, Cheeryal (V), Keesara (M), Ranga Reddy (Dist) - 501 301, Telangana State, India.
E- mail: prabhakar.bijjula@gmail.com

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 Article Type : Research Article Title : Some Fixed Point Theorems in Cone Banach Spaces Using $\Phi_p$ Operator Country : India Authors : R.Krishnakumar || D.Dhamodharan

Abstract: In this paper, some contraction principles of Cone Banach Space(CBS) are stated and proved with the help of $\Phi_p$ operator and also some fixed point theorems related to the above concepts are studied.

Keywords: Cone Banach Space, Fixed point,$\Phi_p$ operator.

D.Dhamodharan
Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamilnadu, India.
E- mail: dharan_raj28@yahoo.co.in

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 Article Type : Research Article Title : Fixed Point Theorem For Fuzzy Mapping Country : India Authors : Rajesh Shrivastava || Megha Shrivastava

Abstract: In this paper we state and prove fixed fuzzy point theorem for fuzzy mapping in complete metric space.

Keywords: Fuzzy mapping, Fixed point, Hausdorf distance.

Megha Shrivastava
Research Scholar, Govt. Science And Commerce Benezir College, Bhopal (M.P.), India.
E- mail: megha.research2015@gmail.com

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 Article Type : Research Article Title : Current Updates in Fluid Dynamics with Special Reference to Europe Country : India Authors : D. R. Patil || Dr. Mahendra Singh Punia

Abstract: Fluid dynamics is study of motion of liquid and gases. One of the fundamental equation in fluid dynamics is the Navier-Stokes equation. It is equation of motion of fluid or gases in IR3. There is considerable work done on Navier-Stokes equation and Euler equation in decade. Existence and smoothness of solution for the Navier-Stokes equation in $IR^2$ have been obtained. Leraythe French mathematician has shown that the Navier stokes equations is three dimensions have a weak solution. Ladyzhenskya studied the behavior of weak solutions of the Euler and Navier-Stokes equation. Solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. In present paper researcher is comparing all the existing solution of Navier-Stokes equations and also reviewing finding obtained by European mathematicians on Solution of Navier-Stokes equations.

Keywords: Navier-Stokes equations, Fluid dynamics, Leray.

D. R. Patil
AssistantProfessor, Sangamner College, Sangamner, Dist. Ahmednager, Maharashtra, India.
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 Article Type : Research Article Title : Reliability Importance of Components in Health Care System Country : India Authors : M. Reni Sagayaraj || A. Merceline Anita || A. Chandra Babu || A.Jeno

Abstract: In Today’s Scenario, it’s very rare to find an healthy person and the number of patients are increasing rapidly, reflecting recent life style changes. One of the Most Common disease in the World is Diabetes Mellitus. In this paper, we discuss the Diabetes Mellitus disease and the study of Reliability importance helps to take preventive measures from its disease. The knowledge of System Reliability helps the System in Health Care to be more perfect and improve its status for the betterment of the Society. Here, we deal with Series-Parallel-Series (SPS) Configuration Systems and using Fault Tree Analysis Approach we determine the Reliability of Cure for the treatment of Diabetes in a Diabetic Health Centre.

Keywords: System Reliability, Reliability Importance, Series-Parallel-Series Configuration System, Fault Tree Analysis Approach.

A. Merceline Anita
Department of Mathematics, Sacred Heart College, Vellore, India.
E- mail: mercelineanita@gmail.com

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