الفهرس 
introduction & summaryOnly 14 pages are availabe for public view
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Abstract
A study on the sufficient conditions for existence of a fixed point for continuous mapping on non convex sets in Helbert spaces. The study includes basic ideas from topology and functional analysis. These ideas form the theoretical base of theory of fixed points and a survey of the famous theorems of fixed point in different situations is given. Some. condition sufficient for existence of a fixed point of continuous mapping in non convex regions of 2 dimensional Hilbert spaces are discussed together with the importance of theorems of existence of a fixed point in different applications such as algebraic differential and integral equations.