## Volume 4 (2016)Article in Press

ISSUE 1 − A ISSUE 1 − B
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 Article Type : Research Article Title : I-Convergence Difference Sequence Classes of Fuzzy Real Numbers Defined By Sequence of Modulus Functions Country : India Authors : Manmohan Das || Sanjay Kr. Das

Abstract: In this article our aim to introduce some new I- convergence difference sequence classes of fuzzy real numbers defined by sequence of modulus functions and studies some topological and algebraic properties. Also we establish some inclusion relations.

Keywords: Fuzzy real number, I- convergence, modulus function, difference sequence.

Manmohan Das
Department of Mathematics, Bajali College (Gauhati University), Assam, India.
E-mail: mdas.bajali@gmail.com

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 Article Type : Research Article Title : Soft Pre Generalized Closed Sets With Respect to a Soft Ideal in Soft Topological Spaces Country : India Authors : V.Chitra || V.Inthumathi || K.Nirmaladevi

Abstract: In this paper, we extend the concept of soft pre generelized closed sets due to J. Subhashini and C. Sekar [15] to soft pre generalized closed sets with respect to a soft ideal and study some of their basic properties.

Keywords: Soft sets, Soft topological spaces, Soft pg-closed set, soft g-closed set, Soft $I_g$-closed set and Soft $I_{pg}$-closed set.

K.Nirmaladevi
Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, Tamilnadu, India.
E-mail: nirmalamaths8@gmail.com

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 Article Type : Research Article Title : On Relaxed Skolem Mean Labling For Four Star Country : India Authors : V.Balaji|| D.S.T.Ramesh || M.Elakkiya

Abstract: In this paper, we prove that if $\ell$= m $<$ n, the four star K${}_{1, }$${}_{\ell }$${}_{ }$$\cup K{}_{1, }$${}_{\ell }$${}_{ }$$\cup$ K${}_{1, m }$$\cup K{}_{1, n} is a relaxed skolem mean graph if |m-n|\, \le \, 2\ell \, +6 for \ell = 2, 3, 4, . . . ; m = 2, 3, 4, . . . and 2\ell +m\, \le n\, \le \, 2\ell \, +\, m\, +6. Keywords: Skolem mean graph and star. V.Balaji Department of Mathematics, Sacred Heart College, Tirupattur, India. E-mail: pulibala70@gmail.com • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : Some Common Fixed Point Theorems For Nonexpansive Type Mappings In 2-Metric Spaces Country : India Authors : Ritu Sahu || P L Sanodia || Arvind Gupta Abstract: The aim of this paper is to prove some common fixed point theorems for weakly compatible mappings under nonexpansive type conditions in the setting of 2-metric spaces. Our result extend and generalizes corresponding results of Singh, Adiga and Giniswami [9] and Liu and Zhang [7]. Keywords: 2-metric spaces, nonexpansive mapping,compatible mappings compatible mapping of type (A). Ritu Sahu Department of Mathematics, People’s College of Research & Technology, Bhopal, India E-mail: sahuritu00@gmail.com • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : Parametric Metric Space, Parametric B-Metric Space & Expansive Type Mapping Country : India Authors : R.D.Daheriya || Suraj Shrivastava || Manoj Ughade Abstract: In this article, we present some fixed point theorems under various expansive conditions in parametric metric spaces and parametric b-metric spaces. The presented theorems extend, generalize and improve many existing results in [13]. Also we prove a common fixed point theorem, which is generalization of Theorem 2.2 of Jain et al. [24] in the setting of parametric b-metric space. We introduce an example the support the validity of our result. Keywords: Fixed point, common fixed point, parametric metric space, parametric b-metric space. Manoj Ughade Department of Mathematics, Sarvepalli Radhakrishnan University, Bhopal, P.O. Box 462026, India. E-mail: surajshrivastava70@gmail.com • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : Construction of Two Special Integer Triples Country : India Authors : S.Vidhyalakshmi || M.A.Gopalan || E.Premalatha Abstract: This paper concerns with the study of constructing a special non zero integer triple (a, b, c) such that the product of any two elements of the set added with the other is a perfect square. Also, the product of any two elements of the set added with the square of the other is a perfect square. Keywords: Integer Triple, system of double equation E.Premalatha Department of Mathematics, National College, Trichy, Tamil Nadu, India. E-mail: premalathaem@gmail.com • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : Key mortality factors of Scirpophaga incertulas (Rice stem borer) infesting Rice Country : India Authors : S.Udayakumar || P.Sujatha || P.Yasotha Abstract: Scirpophagaincertulaspassed through one generation each during rainy season at Agricultural Engineering College, Kumulur. TrichogrammaJaponicum,Trichogrammabraziliensis, Telenomusbeneficiens, Tetra stichus SP. are egg parasites and BraconChinensis, Stenobraconnicenilles, Tropobracon sp. Platygaster. In addition to the above TrichogrammaJaponicum and playgasterOryzac unidentified as key mortality factors of scirpopherga incertulas. Using the key mortality factors the killing power of k value is decrease by second generation. Keywords: Rice, Key Mortality factors, Scirpophaga incertulas. P.Sujatha Assistant Professor(Maths), Ph.D Research Scholar, Horticultural college and Research Institute (women), Tamil Nadu Agricultural University, Trichy, India. E-mail: • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : Obscuring Instability In C Language Using Euler's Modified Method Country : India Authors : Sonia Shivhare || Yogesh Shukla Abstract: The solutions of ordinary Differential equations having initial value problems are analyzed numerically. Computationally effective numerical methods, Euler’s method is given meticulously while Euler’s Modified method presented here gives a better exactness. No higher order derivatives are required to be tabulated. Drawbacks and advantages of the methods are discussed here and the results obtained by them have been compared. The idea behind this paper is to illustrate the facts of implementing a small number of steps of Euler's modified method, in addition , how to apply built-in functions available in C++ [1]. Firstly, we use Euler methods to bring in the fundamental thoughts linked with initial value problems (IVP) and then later on, we apply the Euler’s Modified method associated to the built-in C++ . The purpose of this paper is to go from textbook formula on ODE to production software. Keywords: Euler’s Method, Euler’s Modified Method, C++, ODE. Yogesh Shukla Amity University, Madhya Pradesh, India. E-mail: • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : Some Types of Generalized H^h-Recurrent in Finsler Spaces Country : Yemen Authors : Fahmi Yaseen Abdo Qasem || Adel Mohammed Ali AL-Qashbari Abstract: The purpose of this paper is to develop some properties of generalized H^{h}-recurrent affinely connected space, P2-like generalized H^{h}-recurrent space and P^{\ast}-generalized H^{h}-recurrent space for Berwald curvature tensor H_{jkh}^{i} which satisfies the condition H_{jkh\vert l}^{i}=\lambda_{l}H_{jkh}^{i}+\mu_{l}(\delta _{h}^{i} g_{jk}-\delta_{k}^{i} g_{jh}), where \vert l is h-covariant differentiation, \lambda_{l} and \mu_{l} are non-null covariant vectors field is introduced and such space is called as a generalized H^{h}-recurrent space and denote it briefly by G H^{h}-R F_{n}. Some theorems and conditions have been pointed out which reduce a generalized H^{h}-recurrent space F_{n}(n>2) into a Finsler space of curvature scalar. Keywords: Finsler space, Generalized H-recurrent space, affinely connected space, P2-like space and P^{\ast}-space. Adel Mohammed Ali AL-Qashbari Department of Mathematics, Faculty of Education, University of Aden, Khomaksar, Aden, Yemen. E-mail: Adel_ma71@yahoo.com • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : A New Approach For Solving All Integer Linear Fractional Programming Problem Country : India Authors : Geeta Modi || Sushma Duraphe || Huma Akhtar Abstract: In this paper we present a new approach for solving all integer linear fractional programming problem (ILFPP) in which the objective function is a linear fractional function, and where the constraint functions are in the form of linear inequalities. The approach adopted is based mainly upon simplex method as well as dual simplex method. A simple example is given to clarify the theory of this new approach. Keywords: Fractional programming, Simplex method, Dual simplex method, Gomory’s fractional cut method. Huma Akhtar Research Scholar, Govt. M.V.M. Bhopal, India. E-mail: akhtarhuma50@gmail.com • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : Asymptotic Stability In Impulsive Functional Differential Equations Country : India Authors : Sanjay K. Srivastava || Neha Wadhwa || Neeti Bhandari Abstract: In this paper conditions on Lyapunov functionals V(t, \phi) are improved which ensure asymptotic stability and uniform asymptotic stability. Keywords: Stability, Asymptotic Stability, Impulsive Functional Differential Equation, Lyapunov functional. Neha Wadhwa Department of Applied Sciences, Amritsar College of Engineering and Technology, Amritsar - 143006, Punjab, India. E-mail: nehawadhwa08@yahoo.com • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : Fuzzy Supermodular Lattice Country : India Authors : K.Nithya || V.Vinoba Abstract: In this Paper, Fuzzy Supermodular Lattice – Definition of Fuzzy Supermodular Lattice - Characterization theorem are given. Keywords: Fuzzy Modular Lattice, Fuzzy Distributive Lattice, Fuzzy Supermodular Lattice. K.Nithya Research Scholar(Part Time – Mathematics), Bharathidhasan University, Trichy-2, TamilNadu, India. E-mail: nithya8183@gmail.com • Citation • Abstract • Corresponding Author • Download  Article Type : Research Article Title : Finite Product Topologies Modulo An Ideals Country : India Authors : R.Alagar Abstract: Given a topological space (X,\tau ) and an ideal\Im in X, a finer topology \tau * in X can be associated with \tau and\Im . Given two topological spaces (X,\tau$${}_{1}$), (Y,$\tau $${}_{2}) and ideals \Im , \vartheta in X, Y respectively, an ideal \Im x \vartheta in X x Y, called the product ideal of \Im and \vartheta, in X x Y. We investigate inclusion relations between \tau$${}_{1}$* x $\tau $${}_{2}* and (\tau$${}_{1}$ x $\tau $${}_{2 })* and the conditions under which \tau$${}_{1}$* x $\tau $${}_{2}* = (\tau$${}_{1}$ x $\tau$${}_{2 }$)* and we extend the theorem for finite case.

Keywords: Product ideal, Product Topology,$\tau$* - topologies, $\pi \tau _{\alpha }$* - closed.

R. Alagar
Department of Mathematics, R.V. Government Arts college, Chengalpattu – 603 001.
E-mail:

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 Article Type : Research Article Title : On a Generalized K^h- Birecurrent Finsler Space Country : Yemen Authors : Fahmi Yaseen Abdo Qasem || Wafa'a Hadi Ali Hadi

Abstract: In the present paper, a Finsler space whose curvature tensor $K^i_{jkh}$ satisfies $K^i_{jkhÐ\ell Ðm}{\rm =\ }{\ a}_{\ell m}K^i_{jkh}+{\ b}_{\ell m}\left({\delta }^i_kg_{jh}-{\delta }^i_hg_{jk}\right)\ ,K^i_{jkh}\ne$ 0 , where ${\ a}_{\ell m}$ and ${\ b}_{\ell m}\$are non-zero covariant tensor fields of second order called recurrence tensor fields, is introduced, such space is called as a generalized $K^h-$birecurrent Finsler space . The associate tensor $K_{jrkh}$ of Cartan's fourth curvature tensor $K^i_{jkh}$ , the torsion tensor $H^i_{kh}$ ,the deviation tensor $K^i_h$, the Ricci tensor $K_{jk}$, the vector $H_k$ and the scalar curvature $K$ of such space are non-vanishing. Under certain conditions, a generalized $K^h-$birecurrent Finsler space becomes Landsberg space . Some conditions have been pointed out which reduce a generalized $K^h-$birecurrent Finsler space $F_n(n>2)$ into Finsler space of scalar curvature.

Keywords: Finsler space; Generalized K^h-birecurrent Finsler space; Ricci tensor; Landsberg space; Finsler space of scalar curvature.

Wafa'a Hadi Ali Hadi
Department of Mathematics , Community College-Aden, Dar Saad , Aden, Yemen.
E-mail: wf_hadi@yahoo.com

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 Article Type : Research Article Title : On Pre-Closure Sets in Topological Space Country : India Authors : Vaisakh Venu || Jomol T Joseph

Abstract: The aim this paper is to introduce pre-closure set and pre-closure topological spaces.

Keywords: Closure, pre closure, pre closure space.

Vaisakh Venu
Asst. professor, Dept. of Mathematics, Christ College of Engineerig, Irinjalakkuda, Kerala, India-680125.
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 Article Type : Research Article Title : Some Unified and Generalized Kummer's Second Summation Theorems with Applications in Laplace Transform Technique Country : India Authors : M.I.Qureshi || M.S.Baboo

Abstract: Some significant hypergeometric summation theorems with suitable convergence conditions, are obtained in the present study; analogous to summation theorems for Gauss function ${_2F_1(\frac{1}{2})}$ presented by Brychkov, Prudnikov {\it et~al.} and derived by Fox, Rakha-Rathie. By means of these summation theorems we also find the Laplace transforms of Kummer's confluent hypergeometric function $_1F_1$ in closed form.

Keywords: Gauss and Kummer hypergeometric functions; Legendre duplication formula; Pfaff-Kummer's linear hypergeometric transformation; Principle of analytic continuation; Laplace transforms.

M.S.Baboo
School of Basic Sciences and Research, Sharda University, Greater Noida, Uttar Pradesh, 201306, India.
E-mail: mesub007@gmail.com

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 Article Type : Research Article Title : Some Results for Semi Derivations of Prime Near Rings Country : India Authors : Meram Munirathnam

Abstract: Let $R$ be a prime near ring. By a semi-derivation associated with a function $g:R \rightarrow R$ we mean an additive mapping $f: R \rightarrow R$ such that $f (xy) =f (x)g(y) + xf (y) = f (x)y + g(x)f (y)$ and $f (g(x)) = g(f (x))$ for all $x, y \in R$. In this paper we try to generalize some properties of prime rings with derivations to the prime near rings with semi-derivations.

Keywords: Semi derivation, Prime ring, Commuting mapping, Characteristic of a ring.

Meram Munirathnam
Ad-hoc Lecturer, Dept. of Mathematics, RGUKT, R.K.Valley, Idupulapaya(vi),Vempalli (md), Kadapa(Dt), Andhra Pradesh, India.
E-mail: munirathnam1986@gmail.com

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 Article Type : Research Article Title : Balanced Cordial Labeling and its Application to Produce new Cordial Families Country : India Authors : V.J.Kaneria || K.M.Patadiya || J.R.Teraiya

Abstract: In this paper we have introduced a balanced cordial labeling for a graph G, which is a cordial labeling $f$ with condition $e_{f}(0)= e_{f}(1), v_{f}(0)= v_{f}(1).$ We proved that $P_{n} \times C_{4t}, C_{n} \times C_{4t}$ ($n$ is even) are balanced cordial graphs. We also proved that the corona graph $G_{1} \odot G_{2}$ is cordial, when $G_{1}$ a cordial graph and $G_{2}$ is a balanced cordial graph.

Keywords: Binary vertex labeling, balanced cordial graph, corona graph.

K.M.Patadiya
School of Engineering, RK University, Rajkot, India.
E-mail: kalpesh.patadiya$@$rku.ac.in

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 Article Type : Research Article Title : Nano Generalized Closed Sets in Nano Bitopological Space Country : India Authors : K.Bhuvaneswari || K.Karpagam

Abstract: The basic objective of this paper is to introduce and investigate the properties of Nano (1,2)* generalized closed sets in Nano Bitopological Spaces which is the extension work of Nano closed sets introduced by K. Bhuvaneswari et.al [1] also further investigated the properties of Nano generalized closed set in Nano bi topological space.

Keywords: Nano (1,2)* closed sets , Nano (1,2)*Interior , Nano (1,2)* closure , Nano(1,2)* generalized closed sets.

K.Bhuvaneswari
Associate Professor, Department of Mathematics, Mother Teresa Women’s University , Kodaikanal, India.
E-mail: drkbmaths@gmail.com

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 Article Type : Research Article Title : Super Root Square Mean Labeling Of Disconnected Graphs Country : India Authors : M.Kannan || R.Vikrama Prasad || R.Gopi

Abstract: Let G be a graph with p vertices and q edges. Let $f:V(G)\to \{1, 2, 3,\dots, p+q\} be an injective function. For a vertex labeling f, the induced edge labeling$f^\ast(e=uv)\$ is defined by then f is called a super root square mean if . A graph which admits super root square mean labeling is called super root square mean graph. In this paper, we investigate super root square mean labeling of disconnected graphs.

Keywords: Super root square mean,

M.Kannan
Research & Development Centre, Bharathiar University, Coimbatore – 641 046, India.
E-mail: kannan8383@gmail.com

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 Article Type : Research Article Title : Graphs with equal Total Domination and Inverse Total Domination Numbers Country : India Authors : V.R.Kulli

Abstract: Let D be a minimum total dominating set of G = (V, E). If V – D contains a total dominating set D' of G, then D' is called an inverse total dominating set with respect to D. The inverse total domination number t(G) of G is the minimum cardinality of an inverse total domination set of G. In this paper, we obtain some graphs for which . Also we find some graphs for which

Keywords: Total dominating set, inverse total dominating set, inverse total dominating number.

V.R.Kulli
Department of Mathematics, Gulbarga University, Gulbarga, 585106, India.
E-mail: vrkulli@gmail.com

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 Article Type : Research Article Title : Regular And Totally Regular Intuitionistic Fuzzy Hypergraph(IFH) Country : India Authors : I.Pradeepa || S.Vimala

Abstract: Regular and totally regular Intuitionistic fuzzy graph was first introduced by Nagoor gani.A and Radha.K. In this paper, we define regular and totally regular Intuitionistic fuzzy hypergraphs and discusses the size and order along with properties of the regular and totally regular Intuitionistic fuzzy hypergraphs. The work has been extended to completeness of Intuitionistic fuzzy hypergraphs.

Keywords: Intuitionistic fuzzy graph, Regular intuitionistic fuzzy graph,Totally Regular intuitionistic fuzzy graph,Degree,Total degree.

I.Pradeepa
Assistant Professor, Department of Mathematics, Mother Teresa Women’s University, Kodaikanal, India.
E-mail: tvimss@gmail.com

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