On a generalized fixed point theorem in incomplete soft metric spaces

M. Ramezani, H. Baghani

In this paper, we introduce the notion of orthogonal relation on a soft set $(F,A)$ and some related concepts. This notion allows us to consider fixed point theorem in SO-complete instead of complete soft metric spaces introduced by Yazar et.al. (Filomat 30:2 (2016), 269--279). Then, the existence and uniqueness of soft fixed points for a generalized soft contractive mapping are proved. Also, some examples are given to support that our main theorem is a real extension of Yazar et.al.