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On <i>M</i>-Asymmetric Semi-Open Sets and Semicontinuous Multifunctions in Bitopological Spaces 被引量:2

On <i>M</i>-Asymmetric Semi-Open Sets and Semicontinuous Multifunctions in Bitopological Spaces
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摘要 The purpose of this paper is to introduce the notions of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions defined between asymmetric sets satisfying certain minimal conditions in the framework of bitopological spaces. Some new characterizations of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions will be investigated and several fundamental properties will be obtained. The purpose of this paper is to introduce the notions of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions defined between asymmetric sets satisfying certain minimal conditions in the framework of bitopological spaces. Some new characterizations of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions will be investigated and several fundamental properties will be obtained.
作者 Levy K. Matindih Edwin Moyo Levy K. Matindih;Edwin Moyo(Department of Science & Mathematics, School of Science, Engineering and Technology, Mulungushi University, Kabwe, Zambia)
出处 《Advances in Pure Mathematics》 2021年第4期218-236,共19页 理论数学进展(英文)
关键词 <i>m</i>-Spaces <i>m</i>-Semiasymmetric Open and Closed Sets Upper and Lower <i>M</i>-Asymmetric Semicontinuous Multifunction <i>m</i>-Spaces <i>m</i>-Semiasymmetric Open and Closed Sets Upper and Lower <i>M</i>-Asymmetric Semicontinuous Multifunction
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