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

Author(s):

Hashem P. Masiha , Hamid Mamghaderi*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 , nonexpansive mapping

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
735 to 740
https://www.magiran.com/p2261250