Investigation of different types of neutrosophic sequencespaces

This thesis focuses on the extension and thorough examination of the concept of neutrosophic fuzzy metric spaces, which is an important area in mathematical analysis. Neutrosophic metric spaces constitute a significant mathematical structure that enhances the ability to deal with uncertainties and ambiguities inherent in traditional metric space concepts. In this context, one of the main objectives of the study is to define and extensively investigate the concept of neutrosophic generalized fuzzy metric spaces. This step will facilitate a broader understanding of the concept by addressing existing definitions in the literature and strengthen the theoretical foundation of neutrosophic metric spaces This thesis focuses on the extension and thorough examination of the concept of neutrosophic fuzzy metric spaces, which is an important area in mathematical analysis. Neutrosophic metric spaces constitute a significant mathematical structure that enhances the ability to deal with uncertainties and ambiguities inherent in traditional metric space concepts. In this context, one of the main objectives of the study is to define and extensively investigate the concept of neutrosophic generalized fuzzy metric spaces. This step will facilitate a broader understanding of the concept by addressing existing definitions in the literature and strengthen the theoretical foundation of neutrosophic metric spaces. Another important aim of the study is to develop the concept of neutrosophic fuzzy G-metric spaces and elucidate this concept with examples. Neutrosophic fuzzy G-metric spaces represent a crucial structure that enables better mathematical analysis of uncertainties and ambiguities. This research will contribute to a deeper understanding of practical applications of neutrosophic fuzzy G-metric spaces and offer a novel perspective to research in this field. Furthermore, this thesis aims to explore the statistical properties of sequences in the new space and explain fundamental concepts such as statistical convergence, statistical limits, and accumulation points. Neutrosophic metric spaces offer a new framework for statistical analysis, enriching research in this area. This step will facilitate a better understanding and analysis of the statistical properties of neutrosophic metric spaces. Lastly, the study aims to identify relevant theorems and provide appropriate examples to support these theorems. This endeavor will establish the theoretical foundation of the thesis and ensure the reliability of mathematical deductions related to neutrosophic metric spaces. In line with these objectives, the study aims to present a detailed analysis of the generalization of neutrosophic fuzzy metric spaces and the examination of their statistical properties.