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ABSTRACT
This work seeks to present the existence and uniqueness of solutions to some mathematical problems. Many problems in pure and applied mathematics have as their solutions the fixed point of some mapping. Therefore, a number of procedures in functional analysis and approximations to the fixed points of an approximate mapping. My object in this paper, discusses about fixed point theory and its application in ODE, integral equation and matrices. Also, I established some fixed point theorems in complete metric spaces ad conclusion.
