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.EnglishB-Metric Space Fixed Point Altering Distance Function Integral Equation Admissible Mapping. Α--Complete B-Metric Spaces Α--Continuous Mappings Triangular Α- Admissible Mappings C-Class Functions Generalized (Α-W -Y -F)- Rational-Contraction Type Mapping.Thesis