Document Type : Research Paper

Authors

• Hamid Mamghaderi
• Hashem P. Masiha

Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran

Abstract

In this paper, some fixed point theorems for nonexpansive 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 our results.

Keywords

• Fixed point
• partially ordered set
• non-Archimedean normed space
• ultrametric space
• non-expansive mapping