- Turkish Journal of Mathematics
- Vol: 41 Issue: 1
- Some fixed point theorems for single valued strongly contractive mappings in partially ordered ultra...
Some fixed point theorems for single valued strongly contractive mappings in partially ordered ultrametric and non-Archimedean normed spaces
Authors : Hamid Mamghaderi, Hashem Parvaneh Masiha, Meraj Hosseini
Pages : 9-14
View : 6 | Download : 3
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let $ (X,d,\preceq) $ be a partially ordered ultrametric space and $ f:X\to X $ a single valued mapping. We obtain sufficient conditions for the existence of a fixed point for the strongly contractive mapping $ f $. We also investigate the existence of a fixed point for strongly contractive mappings defined on partially ordered non-Archimedean normed spaces under the same conditions. Finally, we give some examples to discuss the assumptions of the theorems.Keywords : Fixed point, spherically complete ultrametric space, non-Archimedean normed space, strongly contractive mapping, partially ordered set