Some fixed point theorems for single valued strongly contractive mappings in partially ordered ultrametric and non-Archimedean normed spaces

DOI10.3906/mat-1412-3zbMath1438.54142OpenAlexW2576115771MaRDI QIDQ4633232

Hamid Mamghaderi, Meraj Hosseini, Hashem P. Masiha

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1412-3

zbMATH Keywords

fixed pointpartially ordered setnon-Archimedean normed spacestrongly contractive mappingspherically complete ultrametric space

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Cites Work

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• Some fixed point results in ultrametric spaces
• Transseries and real differential algebra
• A Note on Contractive Mappings
• On Fixed and Periodic Points Under Contractive Mappings
• A Comparison of Various Definitions of Contractive Mappings
• A Fixed Point Theorem in Non-Archimedean Vector Spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Fermat's equation for matrices or quaternions over q-adic fields