Additive ρ-functional inequalities in non-Archimedean normed spaces

DOI10.7153/jmi-09-33zbMath1323.39023OpenAlexW2508267673MaRDI QIDQ5249844

Chun-Gil Park

Publication date: 12 May 2015

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/jmi-09-33.pdf

zbMATH Keywords

Hyers-Ulam stabilitynon-Archimedean normed spacenon-Archimedean spaceadditive \(\rho \)-functional equationadditive \(\rho \)-functional inequality

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Non-Archimedean valued fields (12J25)

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