SOMEWHAT r-CONTINUOUS AND SOMEWHAT r-OPEN FUNCTIONS

Anuradha, N.; Chacko, Baby

doi:10.12732/ijpam.v100i4.10

Cited by 4 publications

(4 citation statements)

References 2 publications

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“…The antibacterial activity of PS films decreased by further increasing the treatment time up to 60 min., but still lower than the untreated one. The antibacterial activity (the inhibition of bacterial growth) of plasma-treated PS films could be attributed to the introduction of oxygen containing groups such as (-OH) group onto the surface of PS by N 2 and Ar treatments as confirmed from FTIR analysis [27,28]. Also, the results of optical density of growth indicated a higher antibacterial activity of the treated PS samples with Ar plasma than N 2 -treated samples.…”

Section: The Experiments Was Performed Againstmentioning

confidence: 78%

A Comparative Study of Surface Modification of PS Films Using DC Glow Discharge Plasma in N2 and Ar

Farag

2019

Arab Journal of Nuclear Sciences and Applications

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In this paper, the polystyrene (PS) film surface was treated using DC glow discharge nitrogen (N 2) and argon (Ar) plasma to improve the wettability and antibacterial properties. The untreated and plasma treated surfaces were characterized by contact angle, FTIR, XRD and SEM analysis. The antibacterial activity of untreated and plasma treated PS films was evaluated using optical density (OD) technique against Staphylococcus aureus bacteria. The results of the PS film surface treated in both N 2 and Ar showed a noticeable increase in the wettability due to the increase in the roughness and the introduction of oxygen-containing polar groups as corroborated with SEM, weight loss calculations and FTIR spectra. The results of antibacterial activity showed that the treated samples inhibit the bacterial growth. The Ar treatment created more oxygen-containing polar groups and increase roughness on the PS film surface and extensively modified the polymer surface than the N 2 treatment.

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Section: The Experiments Was Performed Againstmentioning

confidence: 78%

A Comparative Study of Surface Modification of PS Films Using DC Glow Discharge Plasma in N2 and Ar

Farag

2019

Arab Journal of Nuclear Sciences and Applications

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“…Definition 2.2. [2] A function 𝑔: (𝑋, 𝛾) → (𝑍, 𝜇) is said to be Somewhat 𝑟-continuous if for 𝑉 ∈ 𝜇 and 𝑔 −1 (𝑉) ≠ ∅, there exists a regular open set 𝑊 in 𝑋 such that 𝑊 ≠ ∅ and 𝑊 ⊂ 𝑔 −1 (𝑉). Definition 2.3.…”

Section: Preliminaries Definition 21 [4]mentioning

confidence: 99%

Somewhat Mr-continuous and Somewhat Mr-open Functions

2024

IJFMR

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The present article introduces and investigates new classes of functions, namely somewhat mr-continous and somewhat mr-open functions, by utilizing minimal regular open sets and minimal regular closed sets. The paper establishes the relationship between these new categories and other classes of functions, such as somewhat continuous, somewhat r-continuous and completely continuous functions, while also providing examples, counter examples, and various properties. The study of these classes of functions represents a significant contribution to the field of mathematics and provides new insights into the properties and behaviour of functions in various contexts.

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“…(c) [21] "Completely continuous" if q −1 (W) ∈ RO(α) for every W ∈ φ. (d) [22] "δ-continuous" if for every x ∈ L and W ∈ RO(φ) such that q(x) ∈ W, we find U ∈ RO(α) such that x ∈ U and q(U) ⊆ W. (e) [23] "Somewhat-r-continuous" (s-r-c) if, for every W ∈ φ such that q −1 (W) = ∅, we find…”

Section: Definition 2 ([18]mentioning

confidence: 99%

Between Soft Complete Continuity and Soft Somewhat-Continuity

Ghour,

Al-Mufarrij

2023

Symmetry

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This paper introduces two novel concepts of mappings over soft topological spaces: “soft somewhat-r-continuity” and “soft somewhat-r-openness”. We provide characterizations and discuss soft composition and soft subspaces. With the use of examples, we offer numerous connections between these two notions and their accompanying concepts. We also offer extension theorems for them. Finally, we investigated a symmetry between our new concepts with their topological analogs.

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SOMEWHAT r-CONTINUOUS AND SOMEWHAT r-OPEN FUNCTIONS

Cited by 4 publications

References 2 publications

A Comparative Study of Surface Modification of PS Films Using DC Glow Discharge Plasma in N2 and Ar

A Comparative Study of Surface Modification of PS Films Using DC Glow Discharge Plasma in N2 and Ar

Somewhat Mr-continuous and Somewhat Mr-open Functions

Between Soft Complete Continuity and Soft Somewhat-Continuity

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