Asymptotically ideal invariant equaivalence types in double sequences

This thesis study consists of six chapters. In the first chapter, the historical development of the subject addressed in the thesis has been explained. In the second chapter, some basic definitions and concepts that will be used in the thesis are given. In the third chapter, asymptotic invariant convergence and invariant equivalence types and properties are noted for both single and double sequences. In the fourth chapter, the concepts of asymptotic I-invariant equivalence and I*-invariant equivalence for set sequences are introduced and some important properties of these concepts and the theorems that examine the relations between these concepts are given with their proofs. In the fifth chapter, the concepts of asymptotic I2-invariant equivalence and p-strong I2-invariant equivalence for even sequences are introduced and some important properties of them and the relationships between these concepts are explained with theorems. In the sixth section, which is the last section, the sources in the literature used in the thesis are listed.