Special contraction mappings in soft metric spaces

In this thesis study soft cyclic mapping is defined by considering soft metrics with a parameter set. Banach Contraction Principle is stated by using a soft cyclic map and then some special soft contraction mappings are defined such as Kannan and Chatterjee type soft cyclic contraction map, soft asymptotic regular and soft asymptotic regular cyclic map. Various soft fixed point theorems are proved by using these kinds of special soft cyclic contraction mappings. Some examples are presented which support the theorems and show the existence of the soft fixed point.