Θ-contractions and some fixed point results on quasi metric space

This thesis study consists of five chapters in the form of main titles. In the introduction, both single-valued and multivalued developmental processes of the fixed point concept are mentioned. In the Literature Summary section, the works used throughout the thesis are explained in order. The Material and Method section consists of five subsections.The concepts of metric and quasimetric are examined in depth and the main theorems obtained in these spaces are mentioned. In addition, the theorems and proofs obtained with the help of this contraction are given by giving the concept of θ-contraction, which is the main idea of the thesis. In the fourth chapter, which is the research findings, the set valued θ-contraction transformation in quasimetric spaces is given and four different fixed point theorems are obtained. In the Discussion-Conclusion section, ideas for some studies that can be done on this study are given