On the Hyers-Ulam solution and stability problem for general set-valued Euler-Lagrange quadratic functional equations
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Abstract
By established a Banach space with the Hausdorff distance, we introduce the alternative fixed-point theorem to explore the existence and uniqueness of a fixed subset of Y and investigate the stability of set-valued Euler-Lagrange functional equations in this space. Some properties of the Hausdorff distance are furthermore explored by a short and simple way.
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