On Ideal Convergence in 2-Normed Spaces

This thesis consist of four chapters. In the first chapter historical development of related notions of the thesis subject was mentioned. In the second chapter , some basic definations , notions , examples and theorems related to study were given. In the third chapter , definations , concepts and theorems related to 2-normed spaces were given and some important properties about 2-normed spaces were examined. In the fourth chapter , the concept of I-convergence was investigated in 2-normed spaces and some new sequences spaces were defined by using 2-normed. After , the concepts of I-convergence ,I^*-convergence,I-Cauchy ve I^*-Cauchy sequences and relations between these concepts were given by using (AP) condition in 2-normed spaces. Also, the relations between I-cluster points and ordinary limit points of sequences were examined in 2-normed spaces.