Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces

Choonkil Park (), Jung Rye Lee () and Themistocles M. Rassias ()
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Choonkil Park: Research Institute for Natural Sciences, Hanyang University, Department of Mathematics
Jung Rye Lee: Daejin University, Department of Mathematics
Themistocles M. Rassias: National Technical University of Athens, Department of Mathematics

A chapter in Essays in Mathematics and its Applications, 2016, pp 263-310 from Springer

Abstract: Abstract This paper is a survey on the Hyers–Ulam stability of additive functional inequalities, quadratic functional inequalities, additive ρ-functional inequalities, and quadratic ρ-functional inequalities in Banach spaces and fuzzy Banach spaces. Its content is divided into the following sections: 1. Introduction and Preliminaries. 2. Functional Inequalities in Banach Spaces. 3. Functional Inequalities in Fuzzy Banach Spaces. 4. ρ-Functional Inequalities in Banach Spaces. 5. ρ-Functional Inequalities in Fuzzy Banach Spaces.

Keywords: Banach Space; Functional Equation; Complex Banach Space; Functional Inequality; Ulam Stability (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31338-2_12

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DOI: 10.1007/978-3-319-31338-2_12

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