On e-I-open sets, e-I-continuous functions and decomposition of continuity
Journal Title: Journal of Mathematics and Applications - Year 2015, Vol 38, Issue
Abstract
In this paper, we introduce the notations of e-I-open sets and strong B*_I -set to obtain a decomposition of continuing via idealization. Additionally, we investigate properties of e-I-open sets and strong B*_I -set. Also we studied some more properties of e-I-open sets and obtained several characterizations of e-I-continuous functions and investigate their relationship with other types of functions.
Authors and Affiliations
Wadei Al-Omeri, Mohd. Salmi Md. Noorani, A. Al-Omari
Some results on 2-absorbing ideals in commutative semirings
In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero identity which is a generalization of prime ideals of a commutative semiring and prove number of r...
Oscillation of Second Order Difference Equation with a Sub-linear Neutral Term
This paper deals with the oscillation of a certain class of second order difference equations with a sub-linear neutral term. Using some inequalities and Riccati type transformation, four new oscillation criteria are obt...
Location of Zeros of Lacunary-type Polynomials
In this paper, we present some interesting results concerning the location of zeros of Lacunary-type of polynomial in the complex plane. By relaxing the hypothesis and putting less restrictive conditions on the coefficie...
Nonlinear Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces
This paper is devoted to study the existence of solutions for a class of initial value problems for non-instantaneous impulsive fractional differential equations involving the Caputo fractional derivative in a Banach spa...
About a Class of Analytic Functions Defined by Noor-Sǎlǎgean Integral Operator
In this paper we introduce a new integral operator as the convolution of the Noor and Sălăgean integral operators. With this integral operator we define the class C_{NS}(α), where α∈[0,1) and we study some properties of...