Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces

Choonkil Park,Jung Rye Lee,Themistocles M Rassias

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

Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces

Choonkil Park, Jung Rye Lee + Show 1 more

https://doi.org/10.1007/978-3-319-31338-2_12

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Publication Date: Jan 1, 2016

Affiliation: Hanyang University, Daejin University, National Technical University of Athens

#Inequalities In Banach Spaces #Fuzzy Banach Spaces + Show 7 more

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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.

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