New Types of Perfectly Supra Continuous Functions

Humadi, Nadia Kadum; Ali, Haider Jebur

doi:10.24996/ijs.2020.61.4.13

Cited by 3 publications

(3 citation statements)

References 7 publications

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“…In the theme of general topology, generalized open sets play an important role and are currently considered as common research topics for many topologists worldwide. Indeed, by using generalized open sets, the significant themes of general topology and real analysis are concerned with the different modified forms of continuity, separation axioms, etc... [9,10,11]. Another type of generalized open sets in topological space, presented by Andrijevic in 1996 [12], is the proposed b-open sets.…”

Section: Issn: 0067-2904mentioning

confidence: 99%

Separation Axioms in Topological Ordered Spaces Via b-open Sets

Majeed

El-Sheikh

2021

eijs

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This paper aims to define and study new separation axioms based on the b-open sets in topological ordered spaces, namely strong - -ordered spaces ( ). These new separation axioms are lying between strong -ordered spaces and - - spaces ( ). The implications of these new separation axioms among themselves and other existing types are studied, giving several examples and counterexamples. Also, several properties of these spaces are investigated; for example, we show that the property of strong - -ordered spaces ( ) is an inherited property under open subspaces.

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Section: Issn: 0067-2904mentioning

confidence: 99%

Separation Axioms in Topological Ordered Spaces Via b-open Sets

Majeed

El-Sheikh

2021

eijs

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“…In 2016, Jardo, presented the notions of supra i-open sets and discussed the notions of supra i-continuous maps, supra i-open maps, and supra i-closed maps in topological spaces [7] .The concept of supra totally πgrcontinuous function in supra topological spaces was presented by C. Janaki and V. Jeyanthi [6] in 2015. New Types of Perfectly Supra Continuous Functions was presented by Humadi and Ali in [10] . Shaheen.…”

Section: Introductionmentioning

confidence: 99%

On Supra iR-Open Set in Topological Spaces and Some Applications

Abed

2023

JECNAM

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In this work we introduce the supra iR-open set in supra topological spaces. , a novel class of supra i-open sets. This class of sets exactly lies between supra regular open and supra i- open sets. We also look at its basic characteristics and compare it to other sorts of data supra semi open sets types as supra i- open set, supra regular open, regular open, regular closed, clopen, supra semi regular open set and supra clopen . By using this set , We introduce and define the notion of supra totally iR-continuous , supra iR-irresolute map and investigate some of its properties. We prove that every supra totally iR- continuous function is supra iR-irresolute, every totally i????-continuous function is supra totally iR continuous and any strongly continuous function is supra totally iR-continuous, on the other hand, we give examples to show that the convers may not be true. At last , We have proved some theorem to discuss the properties of supra iR-normal space and supra iR-regular space.

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“…Humadi, N. K. and Ali, H. J. [7] introduced new classes of functions called perfectly supra continuous functions, supra continuous, supra open and supra closed functions.…”

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confidence: 99%

On Еc-Continuous and δ-ßc-Continuous Mappings in Topological Spaces Via Еc-open and δ-ßc-open sets

Abdulwahid

Jumaili²

2022

eijs

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In the present paper, new concepts of generalized continuous mappings, namely Еc and δ-ßc-continuous mappings have been introduced and studied by using a new generalized of open sets Еc and δ-ßc-open sets ,respectively. Several characterizations and fundamental properties of these forms of generalized continuous mappings are obtained. Moreover, the graphs of Еc-continuous and δ-ßc-continuous mappings have been investigated. In addition, the relationships among Еc-continuous and δ-ßc-continuous mappings and other well-known forms of generalized continuous mappings in topological spaces are also discussed.

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New Types of Perfectly Supra Continuous Functions

Abstract: We wrote this paper to proffer new types of the perfectly supra continuous functions. We also introduced new types of supra continuous, supra open and supra closed functions.

Cited by 3 publications

References 7 publications

Separation Axioms in Topological Ordered Spaces Via b-open Sets

Separation Axioms in Topological Ordered Spaces Via b-open Sets

On Supra iR-Open Set in Topological Spaces and Some Applications

On Еc-Continuous and δ-ßc-Continuous Mappings in Topological Spaces Via Еc-open and δ-ßc-open sets

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