NEW CONTRIBUTION IN BEST PROXIMITY POINT THEORY VIA AN AUXILIARY FUNCTION
| dc.contributor.author | Abebu Getye | |
| dc.date.accessioned | 2025-12-09T08:31:32Z | |
| dc.date.issued | 2023-11-01 | |
| dc.description.abstract | in this thesis, we introduce the notion of proximal τ -distance contraction, proximal contractive and proximal T -contractive mappings. We establish best proximity point theorems, there by extending fixed point theory to the case of non self mapping and we prove the existence and uniqueness of a best proximity point for such types of mappings in a Hausdorff topological space. Examples are given to validate the main results. | |
| dc.description.sponsorship | wku | |
| dc.identifier.other | wku | |
| dc.identifier.uri | https://rps.wku.edu.et/handle/123456789/46560 | |
| dc.language.iso | en_US | |
| dc.publisher | Wolkite University | |
| dc.title | NEW CONTRIBUTION IN BEST PROXIMITY POINT THEORY VIA AN AUXILIARY FUNCTION | |
| dc.type | Thesis |