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On M-Asymmetric Irresolute Multifunctions in Bitopological Spaces

On M-Asymmetric Irresolute Multifunctions in Bitopological Spaces
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摘要 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. 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.
作者 Levy K. Matindih Peter J. Banda Danny Mukonda Levy K. Matindih;Peter J. Banda;Danny Mukonda(Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia;Department of Mathematics and Statistics, Rusangu University, Monze, Zambia)
出处 《Advances in Pure Mathematics》 2022年第8期490-504,共15页 理论数学进展(英文)
关键词 Asymmetric-Semiopen Sets m-Space m-Asymmetric Semiopen Sets Irresolute Multifunctions Upper (Lower) M-Asymmetric Irresolute Multifunctions M-Asymmetric Irresolute Multifunctions Asymmetric-Semiopen Sets m-Space m-Asymmetric Semiopen Sets Irresolute Multifunctions Upper (Lower) M-Asymmetric Irresolute Multifunctions M-Asymmetric Irresolute Multifunctions
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