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The main purpose of this thesis is to establish the convergence theorems of fixed points for classes of nonlinear operators in difierent types of spaces such as normed spaces, Banach spaces, uniformly convex Banach spaces, and convex metric spaces. In Chapter 1, contains some fundamental concepts. In Chapter 2, we establish approximate common fixed points of three quasi-contractive operators on a normed space through an iteration process with errors. And we show that the Noor iteration converges faster than the Ishikawa and Mann iteration for the class of Zamfirescu operators. In chapter 3,...

Fixed point theory is a branch of mathematics having a wide spectrum of applications is not only areas of mathematics, but also is many practical fields such as Physics, Economics, Game and Computer theory. For example, in Economics, the proofs of the existence of equilibrium for various economic problems are based on fixed point theorems. Although a significant proportion of the theory lies in the branch of Functional Analysis, fixed point theory also resides in areas such as Algebraic topology and degree theory. Theorems concerning the existence and uniqueness of fixed points are known as...