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On <i>M</i>-Asymmetric Irresolute Multifunctions in Bitopological Spaces
Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
Department of Mathematics and Statistics, Rusangu University, Monze, Zambia
Department of Mathematics and Statistics, Rusangu University, Monze, Zambia
- 1 Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
- 2 Department of Mathematics and Statistics, Rusangu University, Monze, Zambia
- 3 Department of Mathematics and Statistics, Rusangu University, Monze, Zambia
Advances in Pure Mathematics·Volume 12 (2022)·Pages 490–504·Published 15 August 2022·DOI10.4236/apm.2022.128037
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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.
KeywordsAsymmetric-Semiopen Sets<i>m</i>-Space<i>m</i>-Asymmetric Semiopen SetsIrresolute MultifunctionsUpper (Lower) <i>M</i>-Asymmetric Irresolute Multifunctions<i>
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