Solutions of integral equations with iteration methods

In this thesis, the strong convergence of the solutions of the second type linear and nonlinear Fredholm integral equations and the data dependence for these equations were examined using the new three-step iteration method. This thesis consists of four chapters. In the first chapter, a summary of the literature on the subject is given. In the second chapter, some basic concepts used throughout the thesis are expressed. Also, some contraction mappings, iteration methods and fixed point theorems in the literature were investigated in this chapter. In the third chapter, the findings are given in line with the hypothesis. In the fourth chapter, the results obtained in this thesis study are summarized and ideas for possible future studies are presented.