On Rough convergence in 2-normed spaces

This thesis study consists of six chapters. In the first chapter, the historical development of the subject discussed in the study is mentioned. In the second part, some basic concepts that are necessary for the study to be more understandable has been granted. In the third chapter, the concepts of rough convergence and rough limit point are introduced and the set of rough limit point has been examined and shown to be bounded, closed and convex in 2-normed spaces. Besides, the concept of rough Cauchy sequence is introduced and the relations between rough Cauchy and rough convergence was investigated. In the fourth chapter, some properties of rough convergence in 2-normed spaces and its relationship with other types of convergence are examined and the properties of rough limit points are explained with theorems. In the fifth chapter, rough statistical convergence and rough statistical limit point concepts in 2-normed spaces are introduced and their specific properties are given by examples and theorems. In the the sixth chapter, which is the last chapter, sources in the literature that utilized throughout the study are listed.