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http://dx.doi.org/10.11568/kjm.2022.30.4.571

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)
Publication Information
Korean Journal of Mathematics / v.30, no.4, 2022 , pp. 571-592 More about this Journal
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
Hyers-Ulam-Rassias stability; Hausdorff distance; Approximation; Set-valued functional equations; The fixed point alternative theorem; The Euler-Lagrange set-valued functional equation;
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Times Cited By KSCI : 3  (Citation Analysis)
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