RESEARCH PROJECTS AND COLLABORATIONS

Research Projects

1. Asymmetric Semi-Inner Products (2023–present)

• Strict convexity

• Smoothness 

• Unifirm convexity

• Team Members: Mrs Pearl Phosoko (MSc student, University of Limpopo), Mrs Thapelo Moshima (MSc student, University of Limpopo), Dr T. Lukoto (University of Limpopo)

2. Expansive Homeomorphisms in Asymmetric Spaces (2021–present)

• Research Focus:

  • Expansive homeomorphisms in quasi-metric spaces

  • Expansive homeomorphisms in quasi-uniform spaces

• Team Members: Dr S. Zweni (PhD graduate, North-West University), Mrs M. Dibona (University of Limpopo)

3. Bornologies on Quasi-Metric Spaces (2017–present)

• Team Members: Dr D. Mukonda (University of Zambia), Dr W.B. Toko (Kasa-Vubu University, Boma, DR Congo)

4. Topological Entropy in Asymmetric Spaces (2021–present)

• Research Focus:

  • Entropy in quasi-metric spaces

  • Entropy in quasi-uniform spaces

• Team Members: Dr P. Haihambo (University of Namibia), Dr A. Razafindrakoto (University of the Western Cape)

5. Box Products and Infinite Games (2016–2021)

• Research Focus:

  • Infinite games in quasi-uniform spaces

  • Quasi-uniform box products

• Team Member: Dr H. Sabao (University of Zambia)

6. Modular Quasi-Metric Spaces (2015–present)

• Research Focus:

  • Modular metric topology

  • Topologies on modular quasi-metric spaces

  • Isbell-convexity in modular quasi-metric spaces

• Team Members: Dr Z. Mushaandja (BIUST), Dr K. Sebogodi (PhD graduate, Wits University), Mr T. Phawe (PhD student, North-West University)

7. Convexity in Quasi-Metric Spaces (2010–2023)

• Research Focus:

  • Hyperconvexity

  • Urysohn spaces

  • Geodesic bicombings

  • Fixed point theorems

• Team Members: Dr M.D. Kalusokoma (PhD graduate, Wits University), Dr H. Sabao (MSc graduate, North-West University)

Research Collaborations

International Collaborations

• Adam Mickiewicz University in Poznań (Poland): Prof. Dariusz Bugajewski, Prof. Piotr Kasprzak

• University of the Balearic Islands (Spain): Prof. Óscar Valero

• Bundeswehr University Munich (Germany): Prof. Vasco Brattka

• Vrije Universiteit Brussel - VUB (Belgium): Prof. Mark Sioen

• École Normale Supérieure Paris-Saclay (France): Prof. Jean Goubault-Larrecq

• Ayatollah Boroujerdi University (Iran): Prof. Moosa Gabeleh

• Botswana International University of Science and Technology - BIUST (Botswana): Dr Zacharia Mushaandja

• University of Namibia (Namibia): Dr Paulus Haihambo

• University of Zambia (Zambia): Dr Hope Sabao

National Collaborations (South Africa)

• University of South Africa (UNISA): Prof. Themba Dube

• University of the Witwatersrand (Wits): Dr Wilson Bombe Toko

• University of the Western Cape (UWC): Dr Ando Razafindrakoto

• University of KwaZulu-Natal (UKZN): Prof. Fortune Massamba