Yakın sürekli fonksiyonların yakın homotopisi

In this thesis entitled "Proximal Homotopy of Proximal Continuous Functions", the concept of homotopy is a transformation that enables a continuous deformation between continuous functions defined in space. In addition to the fact that the main features of these already defined transformations are available in the literature, it is aimed to complete the deficiencies in this thesis. In addition, it is planned to obtain new theorems and results. Thus, in the first part of this thesis, we searched the literature and discussed the proximal and descriptive homotopy theory and the proximal and descriptive fixed point theorems. The second part of our thesis includes our original work. The second part was from the sub-heading. Under these headings, we have obtained new theorems and results about spatial (descriptive) homotopy, spatial (descriptive) path homotopy, spatial (descriptive) deformation retract, fixed point theorems in spatial and descriptive terms. In addition, we introduced new types of functions, which are proximal (descriptive) universal functions, and examined the link between the spatial (descriptive) approximate fixed set property and spatial (descriptive) universal functions.