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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