Dula ToleraDeme Sani2025-09-052025-09-052024-09https://etd.aau.edu.et/handle/123456789/7380In this thesis we introduce Fixed point theorems for generalized ( α-w -y -F)- rational contraction type mappings in b-metric spaces and prove the existence and unique fixed point theorems for such mappings and also we give its application in ordinary differential equations. Our result Generalizes many fixed point theorems in the literature.en-USB-Metric SpaceFixed PointAltering Distance FunctionIntegral EquationAdmissible Mapping. Α--Complete B-Metric SpacesΑ--Continuous MappingsTriangular Α- Admissible MappingsC-Class FunctionsGeneralized (Α-W -Y -F)- Rational-Contraction Type Mapping.Thesis