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”.