New Classes of δ − β∗-Continuous Mappings in m-Polar Neutrosophic Topological Spaces

Shadia M. Noori; Asmaa G. Raoof; S.R. Yaseen; Qays Hatem Imran; Giorgio Nordo; Lorenzo Aff´

Authors

Shadia M. Noori Department of Mathematics, College of Education for Pure Science, Tikrit University, Tikrit, Iraq;
Asmaa G. Raoof Department of Mathematics, College of Education for Pure Science, Tikrit University, Tikrit, Iraq;
S.R. Yaseen Department of Mathematics, College of Education for Pure Science, Tikrit University, Tikrit, Iraq;
Qays Hatem Imran Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq;
Giorgio Nordo MIFT Department, University of Messina, Viale Ferdinando Stagno d’Alcontres, 31– 98166 Messina, Italy;
Lorenzo Aff´ MIFT Department, University of Messina, Viale Ferdinando Stagno d’Alcontres, 31– 98166 Messina, Italy;

Keywords:

Contra m-polar δ − β∗ mappings, Irresolute m-polar δ − β∗ mappings, Generalized continuous neutrosophic mappings.

Abstract

We introduce and study two classes of neutrosophic continuous mappings: the neutrosophic irreso
lute δ−β∗-continuous mappings (NIr δ−β∗ CM) and the neutrosophic contra δ−β∗-continuous mappings (NC
δ−β∗ CM). We establish their fundamental properties and provide characterizations in terms of preimages
of δ−β∗-open and δ−β∗-closed sets. The interplay between the two notions is analyzed through implica
tion chains, (non-)equivalences under mild hypotheses, and stability results under composition, subspaces, and
products. We then extend the framework to the m-polar setting by defining m-polar neutrosophic irresolute
δ−β∗-continuous mappings (MPNIr δ−β∗ CM) and m-polar neutrosophic contra δ−β∗-continuous mappings
(MPNC δ−β∗ CM), showing how core properties lift to the m-polar case and where genuinely new phenomena
arise. Throughout, examples and counterexamples are provided to separate the classes and to illustrate the
sharpness of the obtained results.

DOI 10.5281/zenodo.19209529