scholarly journals Onθ-precontinuous functions

2001 ◽  
Vol 28 (5) ◽  
pp. 285-292
Author(s):  
Takashi Noiri
Keyword(s):  
Continuous Functions ◽  
Closed Space ◽  
New Class ◽  
Weakly Continuous ◽  
Class Of Functions

We introduce a new class of functions calledθ-precontinuous functions which is contained in the class of weakly precontinuous (or almost weakly continuous) functions and contains the class of almost precontinuous functions. It is shown that theθ-precontinuous image of ap-closed space is quasiH-closed.

scholarly journals A note on weakly θ-continuous functions

1989 ◽  
Vol 12 (1) ◽  
pp. 9-13 ◽  
Author(s):  
M. Mrševic ◽  
I. L. Reilly
Keyword(s):  
Continuous Function ◽  
Continuous Functions ◽  
Topological Spaces ◽  
New Class ◽  
Weakly Continuous ◽  
Class Of Functions

Recently a new class of functions between topological spaces, called weaklyθ-continuous functions, has been introduced and studied. In this paper we show how an appropriate change of topology on the domain of a weaklyθ-continuous function reduces it to a weakly continuous function. This paper examines some of the consequences of this result.

scholarly journals δ-perfectly continuous functions

2009 ◽  
Vol 42 (1) ◽  
Author(s):  
J. K. Kohli ◽  
D. Singh
Keyword(s):  
Continuous Functions ◽  
New Class ◽  
Class Of Functions

AbstractA new class of functions called ‘

scholarly journals Quasi cl-supercontinuous functions and their function spaces

2012 ◽  
Vol 45 (3) ◽  
Author(s):  
J. K. Kohli ◽  
Jeetendra Aggarwal
Keyword(s):  
Continuous Functions ◽  
Function Spaces ◽  
Strong Form ◽  
General Topology ◽  
Regular Space ◽  
Basic Properties ◽  
New Class ◽  
Mathematical Literature ◽  
Class Of Functions ◽  
Appl Math

AbstractA new class of functions called ‘quasi cl-supercontinuous functions’ is introduced. Basic properties of quasi cl-supercontinuous functions are studied and their place in the hierarchy of variants of continuity that already exist in the mathematical literature is elaborated. The notion of quasi cl-supercontinuity, in general, is independent of continuity but coincides with cl-supercontinuity (≡ clopen continuity) (Applied General Topology 8(2) (2007), 293–300; Indian J. Pure Appl. Math. 14(6) (1983), 767–772), a significantly strong form of continuity, if range is a regular space. The class of quasi cl-supercontinuous functions properly contains each of the classes of (i) quasi perfectly continuous functions and (ii) almost cl-supercontinuous functions; and is strictly contained in the class of quasi

scholarly journals Between Open Sets and Semi-Open Sets

2018 ◽  
Vol 23 (1) ◽  
pp. 9 ◽  
Author(s):  
Samer Al Ghour ◽  
Kafa Mansur
Keyword(s):  
Continuous Functions ◽  
New Class ◽  
New Concepts ◽  
Class Of Functions

<p>We introduce and investigate ω_s-open sets as a new class of sets which are strictly between open sets and semi-open sets. Then we use ω_s-open sets to introduce ω_s-continuous functions as a new class of functions between continuous functions and semi-continuous functions. We give several results and examples regarding our new concepts. In particular, we obtain some characterizations of ω_s-continuous functions.</p>

scholarly journals Generalised Hölderian functions

1989 ◽  
Vol 40 (1) ◽  
pp. 147-155
Author(s):  
S. De Sarkar ◽  
S. Panda
Keyword(s):  
Continuous Functions ◽  
Higher Order ◽  
Positive Order ◽  
New Class ◽  
Lipschitzian Functions ◽  
Relationship Of ◽  
The Relationship ◽  
Class Of Functions

The concept of kth Hölderian functions on an interval [a, b] which generalises the notion of Hölderian (Lipschitzian) functions of positive order on [a, b] is introduced. The relationship of such functions to functions of bounded kth variation and absolutely kth continuous functions is examined. Properties induced by higher order derivatives in this new class of functions are investigated.

scholarly journals On almost e-ℐ-continuous functions

2021 ◽  
Vol 54 (1) ◽  
pp. 168-177
Author(s):  
Wadei AL-Omeri ◽  
Takashi Noiri
Keyword(s):  
Continuous Functions ◽  
New Class ◽  
Class Of Functions

Abstract This work is concerned with a new class of functions called almost e e - ℐ {\mathcal{ {\mathcal I} }} -continuous functions containing the class of almost e e -continuous functions. This notion is stronger than almost δ β ℐ \delta {\beta }_{{\mathcal{ {\mathcal I} }}} -continuous functions and is weaker than both almost e e -continuous functions and e e - ℐ {\mathcal{ {\mathcal I} }} -continuous functions. Relationships between this new class and other classes of functions are investigated and some characterizations of this new class of functions are studied.

scholarly journals Beta- Star- Continuity and Beta- Star- Contra- Continuity

2021 ◽  
Vol 7 ◽  
pp. 43-66
Author(s):  
Raja Mohammad Latif
Keyword(s):  
Continuous Functions ◽  
General Topology ◽  
Topological Spaces ◽  
New Class ◽  
Fundamental Properties ◽  
Open Set ◽  
Class Of Functions

In 2014 Mubarki, Al-Rshudi, and Al- Juhani introduced and studied the notion of a set in general topology called β*-open set and investigated its fundamental properties and studied the relationships between β*-open set and other topological sets including β*-continuity in topological spaces. We introduce and investigate several properties and characterizations of a new class of functions between topological spaces called β*- open, β*- closed, β*- continuous and β*- irresolute functions in topological spaces. We also introduce slightly β*- continuous, totally β*- continuous and almost β*- continuous functions between topological spaces and establish several characterizations of these new forms of functions. Furthermore, we also introduce and investigate certain ramifications of contra continuous and allied functions, namely, contra β*- continuous, and almost contra β*-continuous functions along with their several properties, characterizations and natural relationships. Moreover, we introduce new types of closed graphs by using β*- open sets and investigate its properties and characterizations in topological spaces.

scholarly journals Contra omega\ beta-continuity

2014 ◽  
Vol 32 (2) ◽  
pp. 9
Author(s):  
Hiam H. Aljarrah ◽  
Mohd. Salmi Md. Noorani ◽  
Takashi Noiri
Keyword(s):  
Weak Form ◽  
Continuous Functions ◽  
Topological Spaces ◽  
New Class ◽  
Class Of Functions

This paper is dealing with the application of the notion of omega\beta-opensets in topological spaces to present and study a new class of functions called contra omega\beta-continuous functions. This notion is a weak form of contra-continuity. We also discuss the relationships between this new class and other classes of functions and some examples of applications are shown.

scholarly journals Almostγ-continuous functions

1992 ◽  
Vol 15 (2) ◽  
pp. 379-384
Author(s):  
F. Cammaroto ◽  
T. Noiri
Keyword(s):  
Continuous Functions ◽  
Weak Continuity ◽  
New Class ◽  
Class Of Functions

In this paper, a new class of functions called “almostγ-continuous” is introduced and their several properties are investigated. This new class is also utilized to improve some published results concerning weak continuity [6] andγ-continuity [2].

scholarly journals Some strong and weak form of z-continuity via Cl*

2019 ◽  
Vol 27 (1) ◽  
pp. 85-101
Author(s):  
A. R. Prasannan ◽  
J. Biswas
Keyword(s):  
Weak Form ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Pragmatic Approach ◽  
Zero Sets ◽  
New Class ◽  
Class Of Functions

Abstract This paper mainly dedicated on overview of zero sets in Ideal topological spaces. We also introduce a new class of functions which generalizes the class of continuous functions and investigate its position in the hierarchy of continuous functions on Ideal topological spaces. Moreover, these new sets (zero*-ℐ-set) which is a pragmatic approach to characterize completely Hausdorff spaces.

Sign in / Sign up

Export Citation Format

Share Document