This book entitled The Extension of Fixed Point Theorems in Various b-Metric Spaces is divided into following 8 chapters Chapter - I: The first chapter is an introductory part of our research work which includes the brief introduction of our topic.Chapter - II: Our second chapter titled as Fixed Point Results for Various Contractions in b-Metric Spaces. Chapter - III: The chapter third having the title Common Fixed Point Theorem in b-Metric Spaces for Compatible Mapping of Type (A)Chapter - IV: The fourth chapter titled as Common Fixed Point Theorems for Two Self Compatible Mapping Satisfying an Implicit Relation of b-Metric Spaces. Chapter - V: The Chapter five titled as Existence of Fixed Point Theorem of Integral Type Contractions in b-Metric Spaces. Chapter - VI: Chapter six titled as Coupled Coincidence Fixed Point Theorem in Two Weakly Compatible Mapping in b-Metric Spaces .Chapter - VII: The seventh chapter titled as Coincidence and Common Fixed Point Theorem using Compatible Mapping of Type (P) in Intuitionistic Fuzzy b-Metric Spaces Chapter - VIII: Our last chapter titled as Some Generalized Theorems of q-Contraction in Symmetric Nb-Fuzzy Metric Spaces.