Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON THE HYERS-ULAM SOLUTION AND STABILITY PROBLEM FOR GENERAL SET-VALUED EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS

  • Dongwen, Zhang (School of Mathematics(Zhuhai), Sun Yat-sen University) ;
  • John Michael, Rassias (National and Kapodistrian University of Athens, Department of Mathematics and Informatics) ;
  • Yongjin, Li (Department of Mathematics, Sun Yat-sen University)
  • Received : 2022.09.03
  • Accepted : 2022.10.18
  • Published : 2022.12.30
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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.

Keywords

Acknowledgement

This work was supported by the National Natural Science Foundation of China (11971493) and (12071491).

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