Taylor's theorem, the inverse function theorem and the implicit function theorem for weakly locally uniformly differentiable functions on non-Archimedean spaces

DOI10.1134/S2070046621020035zbMath1485.26057OpenAlexW3165561553MaRDI QIDQ5966254

Khodr Shamseddine

Publication date: 18 December 2021

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046621020035

zbMATH Keywords

mean value theoremimplicit function theoremnon-Archimedean analysisinverse function theoremintermediate value theoremnon-Archimedean valued fields

Mathematics Subject Classification ID

Non-Archimedean valued fields (12J25) Non-Archimedean analysis (26E30)

Related Items (2)

On the analyticity of WLUD^∞ functions of one variable and WLUD^∞ functions of several variables in a complete non-Archimedean valued field ⋮ On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications

Cites Work

• Analysis on the Levi-Civita field and computational applications
• On locally uniformly differentiable functions on a complete non-Archimedean ordered field extension of the real numbers
• Fields: Algebraically closed and others
• Algebraically Closed Fields Analogous to Fields of Puiseux Series
• Summary on non-Archimedean valued fields
• Calculus on a non-Archimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem
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