Stability of Systems of General Functional Equations in the Compact-Open Topology

DOI10.1007/978-3-319-61732-9_15zbMath1387.39032arXiv1510.04829OpenAlexW2261074125MaRDI QIDQ4605225

Pavol Zlatoš

Publication date: 21 February 2018

Published in: Developments in Functional Equations and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04829

zbMATH Keywords

stabilityuniformitynonstandard analysiscompletely regularlocally compactcontinuous solutionsystem of functional equations

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82)

Cites Work

• Stability of homomorphisms in the compact-open topology
• On \(\varepsilon\)-representations
• On the stability of functional equations and a problem of Ulam
• Almost homomorphisms of compact groups
• Hyers-Ulam stability of functional equations in several variables
• A local stability principle for continuous group homomorphisms in nonstandard setting
• Approximate extension of partial \(\varepsilon\)-characters of Abelian groups to characters with application to integral point lattices.
• On the stability of the linear transformation in Banach spaces
• Stability of group homomorphisms in the compact-open topology
• "Almost" Implies "Near"
• On the Stability of the Linear Mapping in Banach Spaces
• On What Is the Almost-Near Principle
• Approximate homomorphisms
• Stability of functional equations in several variables
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