On some best proximity point results for Ćirić type contractions on Quasi metric space

This thesis is divided into four chapters. The first chapter discusses the motivation for the thesis and provides some background information on fixed point theory and best proximity point theory. In the second chapter, we recall the fundamentals definitions and notations, and some theorems related to our results about fixed point and best proximity point. We present our results in chapter three. We first introduce the concepts of d and d^(-1)- proximal Ćirić contraction mappings. Then, we prove some right and left best proximity point results for these mappings in o-complete quasi metric spaces. Hence, we obtain some generalization of famous results in the literature. Also, we present new definitions and notations by taking into account the lack of symmetry property of quasi metric. Moreover, we give some examples to support our definitions and notations. We provide our findings and suggestions in the fourth chapter.