Boudjedour, HayderHmaizia, Taieb2024-10-162024-10-162024http://dspace.univ-oeb.dz:4000/handle/123456789/19987The memory explores the principles of fixed-point theory, extending them to rectangular metric space. Through three detailed chapters, the foundational concepts are set in the. First chapter, theories by Banach, Kannan, and Chatterjea are reviewed in the second chapter, and generalizations are addressed in the third chapter. This work significantly contributes to the advancement of mathematics and its applications.enFixed point theorem; Principle contraction; Complete metric spaceOther