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Some Characterizations of Upper and Lower M-Asymmetric Preirresolute Multifunctions

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Advances in Pure Mathematics 2023年第5期13卷 267-283页

作者： levy kahyata matindih Elijah Bwanga Mpelele Jimmy Hambulo Davy Kabuswa Manyika Department of Mathematics & Statistics Mulungushi University Kabwe Zambia Department of Physics Mulungushi University Kabwe Zambia

In this present paper, we introduce and investigate a new form of mappings namely;upper and lower M-asymmetric preirresolute multifunctions defined between M-structural asymmetric topological spaces. The relationships between the multifunctions in our sense and other types of precountinuous and preirresolute multifunctions defined on both symmetric and asymmetric topological structures are discussed.

关键词： Asymmetric-Preopen Sets M-Space M-Asymmetric Preopen Sets Upper (Lower) Preirresolute Multifunctions Upper (lower) M-Asymmetric Preirresolute Multifunctions

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

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Advances in Pure Mathematics 2021年第4期11卷 218-236页

作者： levy K. matindih Edwin Moyo Department of Science & Mathematics School of Science Engineering and Technology Mulungushi University Kabwe Zambia

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.

关键词： m-Spaces m-Semiasymmetric Open and Closed Sets Upper and Lower M-Asymmetric Semicontinuous Multifunction

On M-Asymmetric Irresolute Multifunctions in Bitopological Spaces

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Advances in Pure Mathematics 2022年第8期12卷 490-504页

作者： 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

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.

关键词： Asymmetric-Semiopen Sets m-Space m-Asymmetric Semiopen Sets Irresolute Multifunctions Upper (Lower) M-Asymmetric Irresolute Multifunctions M-Asymmetric Irresolute Multifunctions

Some Results of Upper and Lower <i>M</i>-Asymmetric Irresolute Multifunctions in Bitopological Spaces

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Advances in Pure Mathematics 2021年第6期11卷 611-627页

作者： levy K. matindih Edwin Moyo Davy K. Manyika Timothy Sinyangwe Department of Science & Mathematics Mulungushi University Kabwe Zambia Department of Mathematics Copperbelt University Kitwe Zambia

In this paper, we aim to introduce and study some basic properties of upper and lower M-asymmetric irresolute multifunctions defined between asymmetric sets in the realm of bitopological spaces with certain minimal structures as a generalization of irresolute functions deal to Crossley and Hildebrand [1] and upper and lower irresolute Multifunctions deal to Popa [2].

关键词： TiTj-Semiopen Sets M-Space M-Asymmetric Semiopen and Semiclosed Sets Upper (Lower) Irresolute Multifunctions and Upper (Lower) M-Asymmetric Irresolute Multifunctions

Modelling HIV/AIDS Cases in Zambia: A Comparative Study of the Impact of Mandatory HIV Testing

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Open Journal of Statistics 2021年第3期11卷 409-419页

作者： Edwin Moyo James C. Shakalima Gilbert Chambashi James Muchinga levy K. matindih Department of Science and Mathematics Mulungushi University Kabwe Zambia School of Business Studies Unicaf University Lusaka Zambia Department of Natural Sciences Levy Mwanawasa University Lusaka Zambia

In this study, a time series modeling approach is used to determine an ARIMA model and advance counterfactual forecasting at a point of policy intervention. We consider monthly data of HIV/AIDS cases from the Ministry of Health (Copperbelt province) of Zambia, for the period 2010 to 2019 and have a total of 120 observations. Results indicate that ARIMA (1, 0, 0) is an adequate model which best fits the HIV/AIDS time series data and is, therefore, suitable for forecasting cases. The model predicts a reduction from an average of 3500 to 3177 representing 14.29% in HIV/AIDS cases from 2017 (year of policy activation) to 2019, but the actual recorded cases dropped from 3500 to 1514 accounting for 57.4% in the same time frame.

关键词： Counterfactual Forecasting Box-Jenkins Methodology ARIMA Model Auto-correlation Function Partial Autocorrelation Function