Over the last few decades, fixed point theory has become a very powerful and productive tool in solving a variety of problems in control theory, economic theory, nonlinear analysis and global analysis and it can be considered the kernel of the nonlinear analysis. In addition
to many branches of applied and pure mathematics, results from fixed point theory have wide application in many disciplines such as computer science, biology, physics, chemistry and many branches of engineering. Also it plays a major role in many applications
including variational and linear inequalities, optimization and application in the field of approximation theory and minimum norm problem. During last forty years, fixed point theorems and techniques have been developed in pure and applied analysis, topology and
geometry. They are also used in new areas of mathematics applications like Random differential equations, Fluid flow, Eigen value problems, Game Theory. The main problem of the fixed point theory is to find the points which remain invariant under the action of mapping.