- BIUSTRE Home
- →
- Electronic Theses and Dissertations
- →
- Faculty of Sciences
- →
- View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.supervisor | Hailu, Habtu Zegeye | |
| dc.contributor.supervisor | Boikanyo, Oganeditse | |
| dc.contributor.author | Mapharing, Thuso Mpho | |
| dc.date.accessioned | 2025-09-12T13:33:28Z | |
| dc.date.available | 2025-09-12T13:33:28Z | |
| dc.date.issued | 2024-08-09 | |
| dc.identifier.citation | Mapharing,T,M.(2024) Algorithms for Solving Split Equality Variational Inequality Problems Involving Quasi-monotone Mappings in Banach Spaces, Botswana, Master’s thesis, Botswana International University of Science and Technology: Palapye | en_US |
| dc.identifier.uri | https://repository.biust.ac.bw/handle/123456789/669 | |
| dc.description | Thesis (MSc of Mathematics and Statistical sciences)---Botswana International University of Science and Technology, 2024 | en_US |
| dc.description.abstract | The main objective of this thesis is to introduce a more general problem called the Split Equality Variational Inequality Problems (SEVIP) and the Split Equality Duality Variational Inequality Problems (SEDVIP) and formulate algorithms which solve the SEVIP and SEDVIP involving quasi-monotone mappings in reflexive real Banach spaces. In order to solve this problem, we propose double projection like methods to approximate some solution of the SEVIP and SEDVIP. Using these methods, we prove weak and/or strong convergence of the algorithms to solutions of the variational inequality problems under mild conditions. In addition, we provide some applications of SEVIPs and SEDVIPs. We also present numerical examples to validate the application of the algorithm. The results reached in this thesis generalize and improve a number of results in the literature of this field. | en_US |
| dc.publisher | Botswana International University of Science and Technology (BIUST) | en_US |
| dc.subject | Split Equality Variational Inequality Problems (SEVIP) | en_US |
| dc.subject | Split Equality Duality Variational Inequality Problems (SEDVIP) | en_US |
| dc.subject | Formulate algorithms | en_US |
| dc.title | Algorithms for Solving Split Equality Variational Inequality Problems Involving Quasi-monotone Mappings in Banach Spaces | en_US |
| dc.description.level | msc | en_US |
| dc.description.accessibility | unrestricted | en_US |
| dc.description.department | mss | en_US |
Files in this item
This item appears in the following Collection(s)
-
Faculty of Sciences
This collection is made up of electronic theses and dissertations produced by post graduate students from Faculty of Sciences