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On <i>M</i>-Asymmetric Semi-Open Sets and Semicontinuous Multifunctions in Bitopological Spaces
Department of Science & Mathematics, School of Science, Engineering and Technology, Mulungushi University, Kabwe, Zambia
Department of Science & Mathematics, School of Science, Engineering and Technology, Mulungushi University, Kabwe, Zambia
- 1 Department of Science & Mathematics, School of Science, Engineering and Technology, Mulungushi University, Kabwe, Zambia
- 2 Department of Science & Mathematics, School of Science, Engineering and Technology, Mulungushi University, Kabwe, Zambia
Advances in Pure Mathematics·Volume 11 (2021)·Pages 218–236·Published 6 April 2021·DOI10.4236/apm.2021.114016
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Abstract
The purpose of this paper is to introduce the notions of m -asymmetric semiopen sets and M -asymmetric semicontinuous multifunctions defined between asymmetric sets satisfying certain minimal conditions in the framework of bitopological spaces. Some new characterizations of m -asymmetric semiopen sets and M -asymmetric semicontinuous multifunctions will be investigated and several fundamental properties will be obtained.
Keywords<i>m</i>-Spaces<i>m</i>-Semiasymmetric Open and Closed SetsUpper and Lower <i>M</i>-Asymmetric Semicontinuous Multifunction
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