Some fixed point theorems in fuzzy bipolar b-metric spaces

In this thesis, fuzzy bipolar b−metric spaces have been examined and generali zations of some well-known fixed point theorems in fuzzy bipolar b−metric spaces are introduced. In the first chapter, an introduction is made where various historical and lo gical developments of fixed point theory and the properties of fuzzy set, fuzzy metric space, bipolar metric space, b−metric space, Banach fixed point theorem, Kannan fixed point theorem and Caristi fixed point theorems are mentioned. In the second chapter, the definitions and theorems of the relevant metric spaces are given, and the definitions of ne cessary concepts such as continuous t−norm, convergence, continuity, Cauchy sequences and completeness are examined together with their examples. In the third chapter, the pro perties, definitions and theorems of fuzzy bipolar b−metric spaces are mentioned in order to study the generalizations of some fixed point theorems. In fourth chapter, the intended Banach fixed point theorem, Kannan fixed point theorem and Caristi fixed point theorem are generalized to fuzzy bipolar b−metric spaces. In the fifth and last chapter, interpretations and suggestions of fixed point theorems, which are studied on concepts related to fuzzy bipolar b−metric spaces, are expressed.