Stability of set-valued generalized additive Cauchy functional equation
Gang Lu, Yuanfeng Jin, Choonkil Park
TL;DR
This paper investigates the solutions and stability properties of generalized convex set-valued mappings that satisfy a specific functional equation, contributing to the understanding of their behavior and stability in mathematical analysis.
Contribution
It provides new results on the solutions and stability of set-valued functional equations, specifically for generalized convex mappings, which were not previously well-understood.
Findings
Solutions characterized for the set-valued functional equation.
Stability results established for the mappings.
Enhanced understanding of generalized convex set-valued mappings.
Abstract
The main purpose of this paper is to determine the solution of generalized convex set-valued mappings satisfying certain functional equation. Some conclusions of stability of set-valued functional equations are obtained.
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Taxonomy
TopicsFunctional Equations Stability Results · Fuzzy Systems and Optimization · Optimization and Variational Analysis