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Category: Issue 3

Fixed Point Theorems and Existence of Fixed Points in Complete G- Metric Spaces

ANIL RAJPUT1, RASHMI GUPTA2, RUCHA ATHALEY3 and HOTAM SINGH JATAV4
1Chandra Shekhar Azad P. G. College, Sehore, Madhya Pradesh (India)
2Oriental College of Technology, Bhopal (India)
3Sardar Ajeet Singh Memorial Girls College, Bhopal (India)
4ScienceCollege, Gwalior, MP (India)

Email: dranilrajput@hotmail.com

ABSTRACT:

The main purpose of this paper is to prove some fixed point results for mappings satisfying various contractive conditions
on Complete G-Metric spaces. We also prove the uniqueness of such fixed points as well as we showed these mappings are G-continuous on such fixed points.

KEYWORDS: G-metric spaces, symmetric G-metric spaces


The main purpose of this paper is to prove some fixed point results for mappings satisfying various contractive conditions on Complete G-Metric spaces. We also prove the uniqueness of such...

Modeling and Analysis of Stochastic Discrete Event Simulation of Communication Networks

PUSHPANDRA KUMAR
Department of Applied Mathematics M.J.P. Rohilkhand University, Bareilly (U.P.) (India)
Email- drpkgangwar03@gmail.com

ABSTRACT:

In this paper,the study of simulation of communication networks. We present the simulation techniques typically used to solve a model of communication network or protocol is stochastic discrete event simulation. In discrete event simulation, various components of the actual network under study (e.g. the communication links, butters, access strategies network control structures) are represented within a computer program.

KEYWORDS: communication networks, discrete event simulation, queueing network.


In this paper,the study of simulation of communication networks. We present the simulation techniques typically used to solve a model of communication network or protocol is stochastic discrete event simulation. In discrete...

Unsteady two-Dimensional Flow of an Electrically Conducting Visco-Elastic Fluid Along Vertical Porous Surface with Heat Source and Chemical Reaction

PRAVAT KUMAR RATH1 and NAMITA MOHAPATRA2
1Department of Mathematics, B.R.M. International Institute of Technology, Bhubaneswar-751010 (India)
2Department of Mathematics, College of Engineering Bhubaneswar, Bhubaneswar-751024 (India)
Email:-pkrath_1967@yahoo.in

ABSTRACT:

An unsteady two-dimensional natural convection flow of a visco-elastic (Walters B Model) incompressible, electrically conducting fluid along an infinite hot vertical porous surface with heat source and chemical reaction has been studied. The novelty of the present study is to investigate the effects of fluctuating bounding-surface-temperature as well as presence of a volumetric heat source on the flow and heat transfer phenomena. The governing equations of motion, energy and concentration are solved by successive perturbation technique. The expressions for the skin friction, Nusselt number and Sherwood number are also derived. The variations in the fluid velocity, temperature and concentration are shown graphically whereas numerical values of skinfriction, Nusselt number and Sherwood number are presented in a tabular form for various values of pertinent flow parameters. One of the significant contributions of the present study is that the lapse of time contributes to thickening of velocity boundary layer and thinning of thermal boundary layer and hence contributing to designing of MHD devices controlling fluid flow and heat transfer.

KEYWORDS: Electrically conducting fluid, Visco-elastic, heat source, chemical reaction, porous surface.


An unsteady two-dimensional natural convection flow of a visco-elastic (Walters B Model) incompressible, electrically conducting fluid along an infinite hot vertical porous surface with heat source and chemical reaction has been studied....

Generalization of the Fibonacci Sequence in Case of Third Order Recurrence Relation

G.JAYAPARTHASARATHY
Department of Mathematics St. Jude’s College, Thoothoor Kanya Kumari-62 176, Tamil Nadu (India)
E-mail : jparthasarathy1234@gmail.com

ABSTRACT:

In this paper we generate pair of integer sequences using third
order recurrence relation
pn+3 = qn+2 + qn+1 + qn n > 0
qn+3 = pn+2 + pn+1 + pn n > 0
This process of constructing two sequences  
pi i0 and
 
qi i0 is called 2-Fibonacci sequences5

KEYWORDS: -closed set, -closed set, -closed sets, semi-*-closed set, -closed sets 2010 Mathematics subject classification: 54A05, 54D15


In this paper we generate pair of integer sequences using third order recurrence relation pn+3 = qn+2 + qn+1 + qn n > 0 qn+3 = pn+2 + pn+1...

Investigation on Weak form of Generalized Closed sets in Ideal Topological Spaces

G.JAYAPARTHASARATHY
Department of Mathematics St. Jude’s College, Thoothoor Kanya Kumari-62 176, Tamil Nadu (India)
E-mail : jparthasarathy1234@gmail.com

ABSTRACT:

This paper proposes a new class of closed sets in ideal spacescalled -closed set and shows that this class of closed sets
lies betweenthe class of -closed sets and the class of -closed sets. Furthermore, it shows that the necessary and sufficient conditions for a set to be a -closed set and investigatesthe properties of – open sets in idealtopological spaces

KEYWORDS: -closed set, -closed set, -closed sets, semi-*-closed set, -closed sets 2010 Mathematics subject classification: 54A05, 54D15


This paper proposes a new class of closed sets in ideal spacescalled -closed set and shows that this class of closed sets lies betweenthe class of -closed sets and the...

A New Generalized Function in Ideal Topological Spaces

G. JAYAPARTHASARATHY
Department of Mathematics St.Jude’s college, ThoothoorKanya Kumari-62 176, Tamil Nadu (India)
E-mail : jparthasarathy1234@gmail.com

ABSTRACT:

This paper propose a weak form of generalized continuous function in ideal topological space and also a particular type of generalized closedset is introduced. Using this set, some properties of generalized continuousfunctions are investigated.

KEYWORDS: closed sets, maximal -closed sets, - continuous functions, maximal -continuous functions


This paper propose a weak form of generalized continuous function in ideal topological space and also a particular type of generalized closedset is introduced. Using this set, some properties of generalized continuousfunctions...

A New Generalization of Fixed Point Theorem in a Complete Metric Space

MANOJ GARG and PRIYANKA
P.G. Department of Mathematics, Nehru (P.G.) College, Chhibramau, Kannauj (U.P.) (India)
Department of Economics, Nehru (P.G.) College, Chhibramau, Kannauj (U.P.) (India)

E-mail : garg_manoj1972@yahoo.co.in

ABSTRACT:

In the present paper, we prove a fixed point theorem in the form of rational expression. Our result generalizes and extends some well known previous results.

KEYWORDS: Fixed point, complete metric space, fixed point theorem.


In the present paper, we prove a fixed point theorem in the form of rational expression. Our result generalizes and extends some well known previous results.

Onquasi g -open and quasi g -closed functions

MANOJ GARG and SHAILENDRA SINGH RATHORE
P.G. Department of Mathematics, Nehru P. G. College, Chhibramau, Kannauj, U.P. (India)
E-mail: garg_manoj1972@yahoo.co.in

ABSTRACT:

In this paper, we introduce a new type of open function namely quasi g -open function. Further we obtain its characterizations and basic properties.

KEYWORDS: g -open set, g -closed set, g -interior, g -closure, g -quasiopen function. 2000 Mathematics Subject Classification: 54c10, 54c08, 54c05.


In this paper, we introduce a new type of open function namely quasi g -open function. Further we obtain its characterizations and basic properties.

Pathos and Total Pathos Semifull Line Graph

VENKANAGOUDA M. GOUDAR1 and JAGADEESH N.2
1Department of Mathematics, Sri Siddhartha Institute of Technology, Tumkur, Karnataka-572105 (India)
2Research Scholar, Sri Siddhartha Academy of Higher Education, Tumkur, Kalpataru first grade Science College, Tiptur, Karnataka (India)
Email address of Corresponding Author: vmgouda@gmail.com

ABSTRACT:

In this paper, we introduce the concept of pathos semifull line graph and total pathos semifull line graph of a tree. We obtain some properties of these graphs. We study the characterization of graphs whose pathos and total pathos semifull line graph are planar, maximal outer planar, minimally nonouter planar, crossing number one, noneulerian and Hamiltonian.

KEYWORDS: Inner vertex number, pathos graph, semifull line graph.


In this paper, we introduce the concept of pathos semifull line graph and total pathos semifull line graph of a tree. We obtain some properties of these graphs. We study the...