2-normed structures and their reflections in functional analysis

This thesis consist of seven chapters. In the first chapter, the history of 2- normed spaces is mentioned. In the second chapter, the definitions and theorems that will form the basis of the other parts of the thesis are given. In the third chapter, 2- norm and some spaces of them are defined, especially 2-Banach spaces are mentioned and basic features are given. In the fourth chapter, bounded 2-linear operators are mentioned on 2-normed set. In the fifth chapter, D-valued linear 2- functions on 2-normed D-modul are mentioned. In the sixth chapter, the approximation is taken into account in 2-normed spaces. In the seventh chapter, 2- proximity subspaces of generalized 2-normed spaces are examined and related definitions and examples are given.