Author(s)

Levy K. Matindih^1*, Peter J. Banda², Danny Mukonda²

¹Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia.
²Department of Mathematics and Statistics, Rusangu University, Monze, Zambia.

In this paper, our focus is to introduce and investigate a class of mappings called M-asymmetric irresolute multifunctions defined between bitopological structural sets satisfying certain minimal properties. M-asymmetric irresolute multifunctions are point-to-set mappings defined using M-asymmetric semiopen and semiclosed sets. Some relations between M-asymmetric semicontinuous multifunctions and M-asymmetric irresolute multifunctions are established. This notion of M-asymmetric irresolute multifunctions is analog to that of irresolute multifunctions in the general topological space and, upper and lower M-asymmetric irresolute multifunctions in minimal bitopological spaces, but mathematically behaves differently.

Asymmetric-Semiopen Sets, m-Space, m-Asymmetric Semiopen Sets, Irresolute Multifunctions, Upper (Lower) M-Asymmetric Irresolute Multifunctions, M-Asymmetric Irresolute Multifunctions

Matindih, L. , Banda, P. and Mukonda, D. (2022) On M-Asymmetric Irresolute Multifunctions in Bitopological Spaces. Advances in Pure Mathematics, 12, 490-504. doi: 10.4236/apm.2022.128037.