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The concept of the fixed point is the French mathematician H.Poincar E in between 1895 and 1900, the last in the "Poincare
First use ". He put the existence of the periodic solution of the restricted three body problem,attributed to meet certain conditions
Problems of plane transform continuous fixed point. In 1910, L.E.J.Brouwer proved that thepolyhedral finite dimensional space
Continuous mapping on at least one fixed point, which opened the fixed point theory ofprecedent. Especially the Poland mathematics
Banach use the Picard iteration method is proved in 1922 that the Banach contraction mapping principle, because of its results
The beauty and successfully solved as the implicit function theorem, the existence of solutions of initial value problem of differential equation of a series of important
Application of fixed point theory, has become a wonderful work in the treasure house ofmathematics. Especially in recent years, along with the calculation
Machine development, people use a variety of iterative methods to approximate the nonlinearmappings and apply it to solve some
Practical problems. In mathematics, physics and other disciplines have made importantprogress, and to continue to improve, eventually become non
As an important part of the theory of linear functional analysis.