GENERAL MATHEMATICS NOTES

Vol. 8, No. 2, February 2012 

Contents

Title: Edge-domsaturation Number of a Graph

Authors: D. Nidha and R. Kala

Abstract: The edge-domsaturation number ds′(G) of a graph G = (V,E) is the least positive integer k such that every edge of G lies in an edge dominating set of cardinality k. The connected edge-domsaturation number ds′_c(G) of a graph G = (V,E) is the least positive integer k such that every edge of G lies in a connected edge dominating set of cardinality k. In this paper, we obtain several results connecting ds′(G), ds′_c(G)and other graph theoretic parameters.

PP. 1-10

Title: Pre-Semi-Closed Sets and Pre-Semi-Separation Axioms in Intuitionistic Fuzzy Topological Spaces

Authors:  A. Bhattacharjeeand R.N. Bhaumik

Abstract: The aim of this paper is to introduce and study different properties of pre-semi closed sets in intuitionistic fuzzy topological spaces. As applications to pre-semi-closed sets we introduce pre-semi T_1/2-spaces, semi- pre T_1/3 space and pre-semi T_3/4-spaces and obtain some of their basic properties.

PP. 11-17

Title: Optical Fresnel-Wavelet Transforms for Certain Space of Generalized Functions

Author: S.K.Q. Al-Omari

Abstract: The theory of the diffraction Fresnel transform is extended to certain spaces of Schwartz distributions. In the context of Boehmian spaces, the diffraction Fresnel transform is obtained as a continuous function. Convergence with respect to δ and Δ convergences is well defined.

PP. 18-27

Title: A Common Fixed Point Theorem Under Certain Conditions

Authors: R. Umamaheshwar Rao and V. Srinivas

Abstract: The aim of this paper is to present  a common fixed point theorem  in a metric space which extends the results of B. Fisher, G.Jungck and  P.C. Lohani & V.H. Bhadshah using the weaker conditions such as Reciprocally continuous, Compatible mappings, Weakly compatible and  Associated sequence.

PP. 28-33

Title: Global Existence, Exponential Decay and Blow-up of Solutions for Coupled a Class of Nonlinear Higher-order Wave Equations

Authors: Erhan Piṣkin and Necat Polat

Abstract: In this paper we consider the decay rate and the blow up of solutions for the initial and Dirichlet boundary value problem for coupled a class of nonlinear higher order wave equations, in a bounded domain.

PP. 34-48

Title: Lacunary Invariant Statistical Convergence of Fuzzy Numbers

Authors: Mehmet Açıkgöz and Ayhan Esi

Abstract: In this paper, we introduce the concepts of invariant convergence, lacunary invariant statistical convergence of sequences of fuzzy numbers and lacunary strongly invariant convergence of sequences of fuzzy numbers. We give some relations related to these concepts.

PP. 49-59