This book deals about investigation of some Study on fixed and coupled fixed point theorems. Presic type Common Fixed Point theorem in b-Dislocated Metric Spaces, Common coupled fixed point theorems in Dislocated quasi fuzzy b-metric Spaces, Common Coupled Fixed Point Theorems Satisfying (CLRg) Property in Complex Valued b - Metric Spaces were studied. Suzuki Type Common Fixed Point Theorems For Four Maps Using α-admissible in Partial Ordered Complex partial Metric Spaces, A Common Fixed and coupled fixed Point Theorem For Four Maps Satisfying Generalized α-Weakly Contractive Condition in Partial Metric Spaces are used. Common Coupled Fixed Point Theorems For Three Covariant Mappings in Bipolar Metric Spaces, Coupled Fixed Point Theorems For Multi - Valued Mappings in Bipolar Metric Spaces are introduced. A Common Fixed Point Theorem For Six Expansive Mappings in G- Metric Spaces.