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Category: Issue 1

A Common Fixed Point Theorem in Fuzzy Metric Space Using Common E. A. Like Property

UDAY DOLAS
Department of Mathematics, C.S.A.P.G. College
Sehore-466001, M.P. (India)
Email: udolas@gmail.com

ABSTRACT:

In this paper, we are proving a common fixed point theorem for mappings satisfying common E.A. like property in fuzzy metric space.We generalize the result of Jain et al.11, using rational inequality

KEYWORDS: Fuzzy metric space, common E.A. like property and weak compatible maps.


In this paper, we are proving a common fixed point theorem for mappings satisfying common E.A. like property in fuzzy metric space.We generalize the result of Jain et al.11, using...

Unification of a class of trilateral generating relations with Tchebycheff polynomials

K.P. SAMANTA1 and B. SAMANTA2
1Department of Mathematics, TamraliptaMahavidyalaya, Abasbari, Tamluk – 721636 Purba Medinipur, West Bengal (India)
2Department of Mathematics, Shibpur D.B. Institution (College), 412/1, G.T. Road, Howrah -711103, W.B. (India)

ABSTRACT:

In this paper, a theorem in connection with the unification of a class of trilateral generating relations for certain special functions with Tchebycheffpolynomial has been proved by group theoretic method, which in turn yields a number of theorems on trilateral generating functions involving classical orthogonal polynomials (see Section 3 of this paper).

KEYWORDS: Trilateral generating relation, special functions


In this paper, a theorem in connection with the unification of a class of trilateral generating relations for certain special functions with Tchebycheffpolynomial has been proved by group theoretic...

Fixed Point Theorems for four Mappings on Probabilistic Metric Spaces

ANIL RAJPUT1, D. P. AGRAWAL2 and SAVITA JAIN1
1Department of Mathematics, CSA Govt. P.G. Nodal College, Sehore (India)

(dranilrajput@gmail.com, 2dpagrawal1963@gmail.com)
2Department of Mathematics, Govt. Science College, Gwalior (India)

ABSTRACT:

Our main goal to proved common fixed point theorems for four self-mappings with φ-contractive condition in a complete Menger spaces. In this paper we used the concept and definitions some know results

KEYWORDS: self mapping


Our main goal to proved common fixed point theorems for four self-mappings with φ-contractive condition in a complete Menger spaces. In this paper we used the concept and definitions some know results

A Heuristic Approach to Establish an Algebraic Structure on Multi Star Granular Nano Topology

1M. LELLIS THIVAGAR and 2S.P.R. PRIYALATHA
1,2School of Mathematics, Madurai Kamaraj University Madurai-625021, Tamilnadu (India)
Email:1 mlthivagar@yahoo.co.in, 2 spr.priyalatha@gmail.com

ABSTRACT:

In this paper we introduce a new concept in nano topology called as “Multi Star Granular Nano Topology” (MSGNT ) to study multi granulation. The algebraic structure on basic set theoretic operations and De-Morgan’s law are studied in MS-GNT. Further, we show that multi granulation is better than single granulation from a decision table in nano accuracy and nano degree of dependency following heuristic approach.

KEYWORDS: Multi star granular nano topology, Multi star lower approximation, Multi star upper approximation, Multi star boundary region, Nano accuracy measure.


In this paper we introduce a new concept in nano topology called as “Multi Star Granular Nano Topology” (MSGNT ) to study multi granulation. The algebraic structure on basic set theoretic...

On the Topology of Almost Kaehlerian Manifolds

U. S. NEGI
Department of Mathematics, H.N.B. Garhwal University, Campus Badshahi Thaul, Tehri Garhwal – 249 199, Uttarakhand (India)
E-mail: usnegi7@gmail.com

ABSTRACT:

Tachibana (1965) has studied on harmonic tensor in compact Sasakian spaces. Chern (1966) has studied the geometry of G-structures. After than, Blair (1967) has studied the theory of Quasi-Sasakian structures. In this paper, we have studied on the topology of Almost Kaehlerian manifold and several theorems have been established. The notation and terminology in this paper will be the same as that employed in Blair (1967).

KEYWORDS: Kaehler and Riemannian geometry,Topology, Compact, Almost Kaehlerian Manifolds 2000 Mathematics Subject Classification: 53C60, 58B20.


Tachibana (1965) has studied on harmonic tensor in compact Sasakian spaces. Chern (1966) has studied the geometry of G-structures. After than, Blair (1967) has studied the theory of Quasi-Sasakian structures. In this...

Analysis of General-Input Bulk Queue with Vacations GI/M(a,b)/1

SANDEEP DIXIT
Department of Mathematics V.S.S.D. College, Kanpur (India)

ABSTRACT:

In this section we consider a bulk service GI/M(a,b)/1 Queue with multiple exponential Vacations. customers are served in batches according to the bulk service rule, in which at least a customers are needed to start a service and the maximum capacity of each service is b. When the server finishes a service and finds fewer than a customers in the system, he takes a vacation. When the server returns from a vacation and finds fewer than a customers in the system, the server immediately takes another vacation and continuous in this manner until the server finds at least a customers in the system.

KEYWORDS: Bulk queue, General Input, Single Server.


In this section we consider a bulk service GI/M(a,b)/1 Queue with multiple exponential Vacations. customers are served in batches according to the bulk service rule, in which at least a customers...

New sort of operators in Nano Ideal Topology

1M. LELLIS THIVAGAR and 2V. SUTHA DEVI
1,2 School of Mathematics, Madurai Kamaraj University, Madurai-625021, Tamilnadu (India)
E-mail1: mlthivagar@yahoo.co.in
E-mail2: vsdsutha@yahoo.co.in

ABSTRACT:

This paper is devoted to nano ideal space and stipulated the concept of nano local function. Based on the Kuratowski’s closure operator the several forms of nano approximations were inquired in the nano ideal space. Different types of weak forms of nano open sets like nano semi I-open sets and nano αI-open sets were explored inaspects of distinct approximations. Further more, to emphasize our nano ideal space some examples are considered, which are efficacious for implementing this hypothesis in practical applications. Conclusively, We portayed the relation among the weaker form of nano open sets in nano ideal space.

KEYWORDS: Nano topology, Nano local function, Nano closure operator, Nano semi I -open sets, nano αI-open sets


This paper is devoted to nano ideal space and stipulated the concept of nano local function. Based on the Kuratowski’s closure operator the several forms of nano approximations were inquired in...

Baire Category Theorem in terms of weak open sets in Bitopological Spaces

1M. LELLIS THIVAGAR 2M.AROCKIA DASAN and 3V. RAMESH
School of Mathematics, Madurai Kamaraj University Madurai-625 021, Tamil Nadu, (India)
1 E-mail : mlthivagar@yahoo.co.in
2 E-mail : dassfredy@gmail.com
3 E-mail : kabilanchelian@gmail.com

ABSTRACT:

This paper introduce and establish the properties of (1,2)*αψ-compact sets, (1,2)*αψ-locally compact sets, (1,2)*αψ-
Hausdorff spaces. Also we developed a main theorem called Baire Category Theorem by using weak open sets in bitopological spaces.

KEYWORDS: Bitopological spaces, (1,2)*αψ -open sets, (1,2)*αψ-dense sets, (1,2)*αψ-Baire spaces, (1,2)*αψ-compact set and (1,2)*αψ –Hausdorff spaces.


This paper introduce and establish the properties of (1,2)*αψ-compact sets, (1,2)*αψ-locally compact sets, (1,2)*αψ- Hausdorff spaces. Also we developed a main theorem called Baire Category Theorem by using weak open sets...

Poiseuille Flow of Conducting Jeffrey Fluid Between Parallel Plates When one of the Walls is Provided with Porous Lining

B.REDDAPPA1, S. SREENADH2*, K. KUMARASWAMY NAIDU1 and A. PARANDHAMA1
1Department of Mathematics, Sree Vidyanikethan Engineering College,Tirupati-517102 (India)
2Department of Mathematics, Sri Venkateswara University,Tirupati- 517502 (India)
*Corresponding author email: profsreenadh@gmail.com

ABSTRACT:

MHD flow of a Jeffrey fluid in a parallel plate channel is investigated when the walls are provided with non-erodible porous lining. The flow in the free flow region is governed by Jeffrey model and the flow in the porous region is described by Darcy law. The influence of the thickness of porous lining on the velocity field in the channel has been studied. The results are depicted graphically and discussed for various relevant parameters. It is observed that the velocity increases with the increase in Jeffrey parameter whereas the opposite behavior is noticed due to the increase in magnetic parameterM. It is also found that the skin friction is higher for non-Newtonian Jeffrey fluid when compared with Newtonian fluid.

KEYWORDS: Parallel Plate channel, Jeffrey fluid, porous lining, MHD.


MHD flow of a Jeffrey fluid in a parallel plate channel is investigated when the walls are provided with non-erodible porous lining. The flow in the free flow region is governed...