FXP (Fixed point) theory is remarkably important in the world of mathematics because it has numerous applications in a variety of fields. Many authors demonstrated that M-ss results can be utilised to derive FXP generalisations in partial M-ss (metric space). The subject of partial metrics is introduced, as well as the Caristi theorem in partial M-s, in this research paper. In quasi M-s, the Caristi theorem is also given and explained. Finally, some partial M-s generalisations of the Caristi transform are investigated.