Banach and Edelstein Fixed Point Theorems for Digital Images

Akram Hossain, Razina Ferdausi, Samiran Mondal, Harun Rashid
2017 Journal of Mathematical Sciences and Applications  
The current paper generalizes the Edelstein fixed point theorem for digital ( , )-chainable metric spaces. In order to generalize Edelstein fixed point theorem, we study the digital topological properties of digital images. Further, we establish the Banach fixed point theorem for digital images. We give the notion of digital ( , , )-uniformly locally contraction mapping on digital ( , )-chainable metric spaces. Finally, we generalize the Banach fixed point theorem to digital ( , )-chainable
more » ... ( , )-chainable metric spaces which is known as the Edelstein fixed point theorem for digital images on digital ( , )-chainable metric spaces.
doi:10.12691/jmsa-5-2-2 fatcat:fk25sgofpbf53or3jdvd7agcs4