Fixed point theorems for single valued mappings satisfying the ordered nonexpansive conditions on ultrametric and non-Archimedean normed spaces

Document Type : Research Paper


K. N. Toosi University of Technology


‎In this paper‎, ‎some fixed point theorems for non-expansive mappings in partially ordered spherically complete ultrametric spaces are proved‎. ‎In addition‎, ‎we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces‎. ‎Finally‎, ‎we give some examples to discuss the assumptions and support of these theorems.‎