TITLE:
On M-Asymmetric Irresolute Multifunctions in Bitopological Spaces
AUTHORS:
Levy K. Matindih, Peter J. Banda, Danny Mukonda
KEYWORDS:
Asymmetric-Semiopen Sets, m-Space, m-Asymmetric Semiopen Sets, Irresolute Multifunctions, Upper (Lower) M-Asymmetric Irresolute Multifunctions, M-Asymmetric Irresolute Multifunctions
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.8,
August
16,
2022
ABSTRACT: 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.