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Fixed point theory is one of the famous and traditional milestones in Mathematical Analysis and has a broad number of applications in different branches of Pure and Applied Mathematics. Contraction is one of the essential tools in this theory to prove the existence and uniqueness of fixed points. In 1892 searching for special algebras, Corrado Segre published a paper in which he treated an algebra whose elements are called bicomplex numbers. Banach contraction principle is a very popular and effective tool for solving existence problems in many branches of mathematical analysis. In this monograph our attempt is to generalise this principle in partial and bicomplex valuedmetric spaces.