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Fixed point theory has a wide and significant contribution in modern Mathematics. The applications of fixed point theorems encompass diverse disciplines of Mathematics, Statistics, Engineering and Economics in dealing with problems arising in : approximation theory, potential theory, game theory, mathematical economics, theory of differential equations, etc. Using fixed point techniques it is possible to analyze several concrete problems from science and engineering, where one is concerned: with a system of differential, integral and functional equations. This approach is also useful in dealing with certain problems of control systems and theory of elasticity.