Some fixed point theorems on quasi metric spaces via simulation functions
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Abstract (EN)
This thesis studied consists of five chapters. Introduction, Literature, Summary and Conclusion and Recommendations sections are given as the first and last sections as usual. In the third chapter, the basic definitions and theorems of the metric space that will be used in the thesis are given. Additionally, some important fixed-point theorems in these spaces are also mentioned. Also in this section, the concept of quasimetric spaces is included. In the fourth chapter, the research findings, original studies are given along with the definition of ∆-symmetric quasimetric space. In this section, new types of contractions that emerge with the concepts of α transitive transformation, θ-contraction and Ζ-contraction are defined, and fixed-point theorems that generalize the results in the literature for the cases of such transformations in quasimetric spaces are obtained.
Author
Oğuzhan Mert Öztürk
How to Cite
Oğuzhan Mert Öztürk (Master Thesis). Some fixed point theorems on quasi metric spaces via simulation functions, 2023, Çankırı Karatekin Üniversitesi.
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