Le Future

Research Projects:

• Asymmetric semi-inner product (2023-on going) . Team members: Pearl Phosoko (MSc student, UL), Thapelo Moshima (MSc student, UL)

• Homeomorphism expansive maps (2021 -on going) . Team members: Mr S. Zweni (PhD student, NWU) and Mrs M. Dibona(MSc student, NWU)

1. Homeomorhism expansive maps in quasi-metric spaces

2. Homeomorphism expansive maps in quasi-uniform spaces

• Bornologies on quasi-metric spaces (2017-on going) . Team members: Dr D. Mukonda and Dr. W.B. Toko)

• Topological Entropy  (2021-on going) [Dr. P. Haihambo (UNAM), Dr Ando Razafindrakoto (UWC)]

1.  Entropies  in quasi-metric spaces

2. Entropies in quasi-uniform spaces

• Box product (2016- 2021) . Team member: Dr. H. Sabao.

1.  Infinite games in quasi-uniform spaces

2.  Quasi-uniform box products

• Modular quasi-metric spaces (2015-on going). Team members: Dr. Z. Mushaandja (BIUST) , Dr. K. Sebogodi (PhD student, WITS) and Mr. T. Phawe (PhD student, NWU).

1.  Modular metric topology

2. Topologies on modular quasi-metric spaces

3. Isbell-convexity in modular quasi-metric spaces

• Convexity in quasi-metric spaces (2010- 2023). Team members: Dr. M.D. Kalusokoma (PhD student WITS) and  Dr. H. Sabao (Msc student, NWU)

1. Hyperconvexity

2. Uryson spaces

3. Geodesic bicombine

4. Some fixed point theorems

Research Collaborations

I have established collaboration  and connections with:

• Uniwersytet im. Adama Mickiewicza w Poznaniu, Poznan, Poland (Prof. Dariusz Bugajewski and Prof. Piotr Kasprzak)

• Balearic Islands University (Prof. Oscar Valero)

• Universität der Bundeswehr München, Germany  (Prof. Vasco Brattka)

• The  Free University of Brussels, Belgium (Prof. Mark Sieon).

• Ecole Normal de Paris-Sacley, France (Prof. Jean Goubault Larrecq).

• University of Namibia (Dr Paulus Haihambo)

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

• University of South Africa, South Africa  (Prof. Themba Dube). 

• Botswana International University  of Science and Technology, Botswana  (Dr.  Zacharia Mushaadja)

• University of the Witwatersrand, South Africa (Dr. Wilson Bombe Toko)

• University of Zambia , South Africa (Dr. Hope Sabao)

• University of the Western Cape, South Africa (Dr. Ando Razafindrakoto)

• University of Kwazulu-Natal, South Africa  (Prof. Fortune Massamba)