Applications of fixed point algorithms to image restoration problems

Fixed point theory is an important topic that has many applications in various fields of mathematics. Recently, one of the prominent application areas of fixed point theory is image restoration problems. The image restoration problem can be expressed as a classical minimization problem for the sum of two special functions. In this thesis, some fixed point algorithms in real Hilbert spaces are defined and the application of these algorithms to image restoration problems is given. At the same time, the defined algorithms were compared with some existing algorithms in the literature and better quality images were obtained with new defined algorithms.