Soft inner product quasilineer spaces

This master's thesis work named "Soft Inner Product Quasilinear Spaces and Some Generalizations" consists of five chapters. In the introduction, which is the first part of the thesis, some information about soft sets and quasilinear spaces is given. In the second chapter, some basic concepts and theorems in linear spaces and Housdorf metric concepts are given. In the third chapter, some definitions, concepts and results about quasilinear, normed quasilinner and inner product quasilinear spaces are given. In the fourth chapter, some basic information about soft sets and soft quasilinear sets and some theorems that will be used in the last part of the thesis are given. The fifth part is the original part of our study. In this section, the concept of soft inner product quasilinear space is defined and some theorems and results related to this new concept are obtained. In addition, some results about the concept of floor in soft quasilinear spaces are given.