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<p>A variant of the direct method is applied to study perturbations of two convex set-valued functional equations. The results of this paper improve the main results of Park (J Fixed Point Theory Appl 19:2297–2308, 2017) under weaker assumptions. More importantly, the corresponding single-valued functional equations acted as special cases are included in our results.</p>

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On perturbations of two convex set-valued functional equations

  • 期刊论文

  • 发表日期：

    2025年12月10日

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  • Hamid Khodaei

摘要

A variant of the direct method is applied to study perturbations of two convex set-valued functional equations. The results of this paper improve the main results of Park (J Fixed Point Theory Appl 19:2297–2308, 2017) under weaker assumptions. More importantly, the corresponding single-valued functional equations acted as special cases are included in our results.