Insertion of a Contra-continuous Function between Two Comparable Real-valued Functions
Journal Title: Earthline Journal of Mathematical Sciences - Year 2020, Vol 3, Issue 1
Abstract
A necessary and sufficient condition in terms of lower cut sets are given for the insertion of a contra-continuous function between two comparable real-valued functions on such topological spaces that kernel of sets are open.
Authors and Affiliations
Majid Mirmiran, Binesh Naderi
Keywords
Related Articles
- EP ID EP670825
- DOI 10.34198/ejms.3120.2135
- Views 175
- Downloads 0
On Pretopological Vector Spaces
The purpose of the present paper is to introduce the new class of topological spaces, namely pretopological vector spaces. We study some of the basic properties of pretopological vector spaces and investigate their relat...
Differential Sandwich Theorems for a Certain Class of Analytic Functions Defined by Differential Operator
In this paper, we establish some applications of first order differential subordination and superordination results involving Hadamard product for a certain class of analytic functions with differential operator defined...
Uniformity in d-algebras
In this paper, we consider a collection of d*-ideals of a d-algebra D. We use the connotation of congruence relation regard to d*-ideals to construct a uniformity which induces a topology on D. We debate the properties o...
Subordination and Superordination Results for Normalized Analytic Functions Associated with Frasin Operator
In this paper, we derive some applications of first order differential subordination and superordination results involving Frasin operator for analytic functions in the open unit disk. Also by these results, we obtain sa...
The Convex $(\delta,L)$ Weak Contraction Mapping Theorem and its Non-Self Counterpart in Graphic Language
Let $(X,d)$ be a metric space. A map $T:X \mapsto X$ is said to be a $(\delta,L)$ weak contraction [1] if there exists $\delta \in (0,1)$ and $L\geq 0$ such that the following inequality holds for all $x,y \in X$: $d(...