R. Vijayalakshmi

Neutrosophic regular semi compactness and connectedness
Annals of Communications in Mathematics 2022
, 5 (2)
, 127-137
DOI: https://doi.org/10.62072/acm.2022.050206
AbstractIn this paper, we introduce the concept of neutrosophic regular semi compactness, neutrosophic regular semi connectedness, neutrosophic regular semi strongly connectedness and neutrosophic regular semi-C5-connectedness in neutrosophic topological spaces. Some interesting properties of these notions are studied. In this connection, interrelations are discussed. Example are provided wherever necessary.

Neutrosophic Regular Semi Continuous Functions
Annals of Communications in Mathematics 2021
, 4 (3)
, 254-260
DOI: https://doi.org/10.62072/acm.2021.040305
AbstractIn this paper, we introduce and study the concept of regular semi continuous, regular semi irresolute, regular semi-T1/2 space, regular semi homeomorphisms and regular semi c-homeomorphisms in neutrosophic topological spaces. Moreover, we investigate the relationship among neutrosophic regular semi continuous, neutrosophic regular semi irresolute, neutrosophic regular semi homeomorphism and neutrosophic regular semi Chomeomorphisms mappings. Finally, we have given some counter examples to show that these types of mappings are not equivalent.

On Somewhat Neutrosophic Regular Semi Continuous Functions
Annals of Communications in Mathematics 2024
, 7 (4)
, 366-375
DOI: https://doi.org/10.62072/acm.2024.070404
AbstractIn this paper the concept of somewhat neutrosophic regular semi continuous functions, somewhat neutrosophic regular semi-open functions are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are also given. More examples are given to illustrate the concepts introduced in this paper.

Neutrosophic Weakly Regular Semi Continuous Functions
Annals of Communications in Mathematics 2024
, 7 (4)
, 439-450
DOI: https://doi.org/10.62072/acm.2024.070410
AbstractIn this paper, we introduce the concept of neutrosophic weakly regular semi continuous, neutrosophic regular semi q-neighbourhood in neutrosophic topological spaces. Also, we investigate the relationship among neutrosophic weakly regular semi continuous and other existing continuous functions. Moreover, some counter examples to show that these types of mappings are not equivalent. Finally, Neutrosophic retracts, neutrosophic regular semi retracts, neutrosophic regular semi quasi Urysohn space and neutrosophic regular semi Hausdorff spaces are introduced and studied.