On three problems of Y.--G. Chen
Yuchen Ding
TL;DR
This paper addresses three mathematical problems, providing negative answers to two questions and a positive solution to another, thereby clarifying certain open issues in the field.
Contribution
It offers new insights by resolving specific open problems posed by Chen, Ruzsa, and Ma, advancing understanding in the area.
Findings
Two questions of Chen and Ruzsa are answered negatively.
A problem of Ma and Chen is solved affirmatively.
The results clarify the nature of the problems in question.
Abstract
In this short note, we answer two questions of Chen and Ruzsa negatively and answer a problem of Ma and Chen affirmatively.
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Taxonomy
TopicsOptimization and Variational Analysis · Advanced Topology and Set Theory · Functional Equations Stability Results