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Category: Issue 3

A new type of Generalized Fixed Point Theorem in a Complete Metric Space

MANOJ GARG
P.G. Department of Mathematics, 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.

A Fuzzy Inventory Model for Deteriorating Items with Stock and Time Dependent Demand and Partial Backlogging Under Trade Credit period

D. CHITRA* and P. PARVATHI**
*Assistant Professor, Department of Mathematics, Quaid-E-millath government college,Chennai – 600002, TamilNadu (India)
** Associate Professor, Department of Mathematics, Quaid-E-millath government college, Chennai – 600002, TamilNadu (India)

ABSTRACT:

In the present paper, a Fuzzy inventory model for deteriorating items has been developed with stock and time dependent demand for which the supplier permits a fixed trade credit period. This paper also assumes that excess demand is partially backlogged. All the inventory costs involved in this model are taken as triangular fuzzy numbers. Replenishment cycle length, the time at which shortage begins and the optimal total inventory cost are taken as decision variables. Sensitivity for this model is also studied. Graded mean representation is used to defuzzify the model. The advantage of proposed approach is that it is simple, gives the better result in relatively less computational work.

KEYWORDS: Triangular fuzzy numbers, Stock and Time Dependent Demand, Deteriorating Items, Trade Credit Period.


In the present paper, a Fuzzy inventory model for deteriorating items has been developed with stock and time dependent demand for which the supplier permits a fixed trade credit period. This paper...

Prime Cordial Labeling of Generalized Prism Graph

U. M. PRAJAPATI1 and S. J. GAJJAR2
1Department of Mathematics, St. Xavier’s College, Ahmedabad – 380009 (India)
2General Department, Government Polytechnic, Himmatnagar – 383001 (India)
E-mail: gjr.sachin@gmail.com E-mail: udayan64@yahoo.com

ABSTRACT:

In this paper the authors have proved that prism graph Yn,2 is prime cordial except n = 1, 2 and 4 and the graph Yn,4 also
prime cordial for n  3. We have also proved that the generalized prism graph Y3,n, Y5,n, Y6,n and Y2p,n (for odd prime p) are prime cordial for n > 1 and Y4,n is also prime cordial for n > 2.

KEYWORDS: Graph Labeling, Prime cordial Labeling, Generalized Prism graph. AMS subject classification number: 05C78


In this paper the authors have proved that prism graph Yn,2 is prime cordial except n = 1, 2 and 4 and the graph Yn,4 also prime cordial for n...

On Weak forms of Continuous and Irresolute functions in Fuzzy Bitopological Spaces

T. THANGAM1 and K. BAGEERATHI2
1Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur-628215, Tamilnadu (India)
2Department of Mathematics, Aditanar College of Arts and Science, Tiruchendur-628216, Tamilnadu (India)

ABSTRACT:

Focus of this paper is to introduce the concept of pairwise fuzzy ℭ – semi continuous, pairwise fuzzy ℭ – totally continuous, pairwise fuzzy ℭ – totally semi continuous and pairwise fuzzy ℭ – irresolute mappings of a fuzzy bitopological space where ℭ : [0,1]  [0,1] is a complement function. Several examples are given to illustrate the concepts introduced in this paper.

KEYWORDS: Fuzzy complement function ℭ , fuzzy ℭ -(i, j) –semi closure, fuzzy ℭ -(i, j) –semi interior subsets, pairwise fuzzy ℭ - semi continuous, pairwise fuzzy ℭ - totally continuous, pairwise fuzzy ℭ - totally semi continuous, pairwise fuzzy ℭ - irresolute pairwise contra fuzzy ℭ - irresolute mappings and fuzzy bitopological spaces


Focus of this paper is to introduce the concept of pairwise fuzzy ℭ – semi continuous, pairwise fuzzy ℭ – totally continuous, pairwise fuzzy ℭ – totally semi continuous and pairwise...

Weakly P Properties and Not-Separation Axiomsfor Urysohn and Weakly Urysohn Axioms

CHARLES DORSETT
Department of Mathematics, Texas A&M University-Commerce Commerce, Texas 75429 USA

ABSTRACT:

In a recent paper, a new category of topological properties called weakly Po properties were introduced and investigated. The search for a topological property that failed to be a weakly Po property led to the use of “not-T0” within that paper, and the investigation of other “not-separation axioms” and other weakly Pproperties in follow up papers. Within this paper, the study of weakly P properties and “notseparation axioms” continues with the Urysohn and weakly Urysohn axioms.

KEYWORDS: Key words: T0-identification spaces, weakly P properties, “notseparation axioms” Subject Classification: 54A05, 54B10, 54D10


In a recent paper, a new category of topological properties called weakly Po properties were introduced and investigated. The search for a topological property that failed to be a weakly Po...

New Class of n-ary Semilattices And Their Properties

M. REEHANA PARVEEN1 and P. SEKAR2
1Dept of Mathematics, Justice Baheer Ahmed Sayeed College, Chennai (India)
2Principal, Kandasamy Naidu College, Chennai (India)

ABSTRACT:

In this paper for the first time we define the new notion of n-ary semilattices under the intersection operation. Several new notions likes pseudo buds and uniform t-length n-ary semilattices are introduced and their properties analysed.

KEYWORDS: n-ary semilattice, uniform t-length n-ary semilattice, pseudo buds.


In this paper for the first time we define the new notion of n-ary semilattices under the intersection operation. Several new notions likes pseudo buds and uniform t-length n-ary semilattices are...

Merging of Semilattices and their Special Properties

M. REEHANA PARVEEN1 and P. SEKAR2
1Department of Mathematics, Justice Baheer Ahmed Sayeed College, Chennai (India)
2Principal, Kandasamy Naidu College, Chennai (India)

ABSTRACT:

In this paper for the first time authors define the new notion of merging of semilattices. The properties of merged semilattices is studied and several interesting results are proved in this direction.

KEYWORDS: semilattice, pseudo semilattice, pseudo atoms, pseudo buds, symmetric lattice, n-ary semilattice


In this paper for the first time authors define the new notion of merging of semilattices. The properties of merged semilattices is studied and several interesting results are proved in this...

A New Type of Closed Sets in Bitopological Spaces

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 Email: ssrathore.ait@gmail.com

ABSTRACT:

In this paper, we introduce g -closed sets19 in bitopological spaces. Properties of these sets are investigated and we introduce the two new bitopoligical spaces (i, j)- T and (i, j)- T* spaces as applications. Further we introduce and study g -continuity19 in bitopological spaces.

KEYWORDS: (i, j)- g -closed sets; (i, j)- T spaces; (i, j)- T* spaces; D (i, j)-continuity.


In this paper, we introduce g -closed sets19 in bitopological spaces. Properties of these sets are investigated and we introduce the two new bitopoligical spaces (i, j)- T and (i, j)-...

Matrix Groupoids

V. RAJESWARI and P. GAJIVARADHAN
Department of Mathematics, Pachaiyappa’s College, Chennai – 600 030 (India)

ABSTRACT:

In this paper for the first time groupoid matrix are introduced and their properties are analysed. A matrix groupoid or a groupoid matrix is a collection of p × q matrices with entries from a groupoid (G, *) where groupoid matrix inherits the operation of G. Clearly groupoid matrix are non associative groupoids of finite order.

KEYWORDS: Groupoid matrix, Groupoid, matrix groupoid, pseudo nilpotent, pseudo zero divisors.


In this paper for the first time groupoid matrix are introduced and their properties are analysed. A matrix groupoid or a groupoid matrix is a collection of p × q matrices...

On Quasi Umbilical Submanifold of CO-Dimension -2 of Almost Hyperbolic Manfold

B.B. PANDEY and S.B. PANDEY
Department of Mathematics, Kumaun University Soban Singh Jeena campus, Almora (Uttarakhand) (India)

ABSTRACT:

Hypersurfaces immersed in an almost hyperbolic Hermitian manifold studied by Dube and Mishra3. Almost hyperbolic hermite manifold have been studied by Dube2. Hypersurfaces of almost hyperbolic Hermitian manifold I,II ,have been studies by Bhatt and Dube1. The purpose of the present paper is to study the Quasi – Umbilical submanifold of co-dimension -2 of an almost hyperbolic manifold. We have obtained the condition for this submanifold, to be W –Quasi umbilic

KEYWORDS: hyperbolic Hermitian


Hypersurfaces immersed in an almost hyperbolic Hermitian manifold studied by Dube and Mishra3. Almost hyperbolic hermite manifold have been studied by Dube2. Hypersurfaces of almost hyperbolic Hermitian manifold I,II ,have been studies...