HYBRID FIXED POINT THEOREMS IN GENERALIZED METRIC SPACES AND APPLICATIONS
| dc.contributor.author | Abdelkrim, Abdelhalim | |
| dc.date.accessioned | 2026-10-06T07:56:26Z | |
| dc.date.available | 2026-10-06T07:56:26Z | |
| dc.date.issued | 2026 | |
| dc.description.abstract | This work represents an advancement of fixed-point theory through the study of hybrid fixed-point theorems in various generalized metric spaces, specifically metric and b-metric spaces, using Hausdorff metric. We introduce several contractions types, most notably the convex F-Khan contraction and (F,ϕ ) contraction. Furthermore, the work explores hy brid common fixed-point results by employing modern topological properties such as the Common Limit Range (CLR) property, (E,A) and tangential properties. To demonstrate the practical significance of these developments in mathematics we provide some appli cations in different domains, such as solving Fredholm integral equations and addressing problems in Dynamic programming and systems of functional equations. These results extend previous findings and offer enhanced analytical methods for nonlinear functional analysis. | |
| dc.identifier.uri | http://dspace.univ-khenchela.dz:4000/handle/123456789/11623 | |
| dc.language.iso | en | |
| dc.title | HYBRID FIXED POINT THEOREMS IN GENERALIZED METRIC SPACES AND APPLICATIONS | |
| dc.type | Thesis |