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 Almost ps-continuous functions

2012 ◽  
Vol 43 (1) ◽  
pp. 33-50
Author(s):  
Alias Barakat Khalaf ◽  
Baravan A. Asaad
Keyword(s):  
Continuous Function ◽  
Continuous Functions ◽  
Topological Spaces ◽  
New Class ◽  
Class Of Functions

The purpose of this paper is to introduce a new class of functions called almost ps-continuous function by using ps-open sets in topological spaces. Some properties and characterizations of this function are given.

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 STUDIES ON GENERALISED UNSTABLE FUNCTIONS IN TOPOLOGICAL SPACES

2017 ◽  
Vol 5 (4RAST) ◽  
pp. 45-51
Author(s):  
Vijilius Helena Raj ◽  
G. Srinivasa
Keyword(s):  
Continuous Function ◽  
Topological Spaces ◽  
New Class ◽  
Class Of Functions

In this paper we bring in a new class of functions called g*Λ irresolute function and contra g*Λ irresolute function, where g*Λ irresolute function is a weaker form of g*Λ continuous function and contra g*Λ irresolute function is a weaker form of contra g*Λ continuous  function.

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 gs Continuous Function in Topological Space

ISRN Geometry ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
S. Pious Missier ◽  
Vijilius Helena Raj
Keyword(s):  
Continuous Function ◽  
Topological Space ◽  
Continuous Functions ◽  
Topological Spaces ◽  
New Class ◽  
Properties And Characterization

We introduce the different notions of a new class of continuous functions called generalized semi Lambda (gs) continuous function in topological spaces. Its properties and characterization are also discussed.

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.

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 ‎INSERTION OF A CONTRA-CONTINUOUS FUNCTION BETWEEN TWO ‎‎COMPARABLE CONTRA-$\alpha-$CONTINUOUS (CONTRA-$C-$CONTINUOUS) FUNCTIONS

2019 ◽  
pp. 13
Author(s):  
Majid Mirmiran ◽  
Binesh Naderi
Keyword(s):  
Continuous Function ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Necessary And Sufficient

‎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. 

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

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