Title of article :
Fixed point theorems for single valued mappings satisfying the ordered nonexpansive conditions on ultrametric and non-Archimedean normed spaces
Author/Authors :
Mamghaderi, Hamid Faculty of Mathematics - K. N. Toosi University of Technology, Tehran, Iran , Parvaneh Masiha, Hashem Faculty of Mathematics - K. N. Toosi University of Technology, Tehran, Iran
Abstract :
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.
Keywords :
Fixed point , partially ordered set , non-Archimedean normed space , ultrametric space , non-expansive mapping
Journal title :
International Journal of Nonlinear Analysis and Applications
