A New Hyperstability Result for the Multi-Drygas Equation Via the Brzdȩk’s Fixed Point Approach

被引：0
作者：
Iz-iddine EL-Fassi
Abbas Najati
Masakazu Onitsuka
Themistocles M. Rassias
机构：
[1] S. M. Ben Abdellah University,Department of Mathematics, Faculty of Sciences and Techniques
[2] University of Mohaghegh Ardabili,Department of Mathematics
[3] Okayama University of Science,Department of Applied Mathematics
[4] National Technical University of Athens Zografou Campus,Department of Mathematics
来源：
Results in Mathematics | 2023年 / 78卷
关键词：
Hyperstability; multi-Drygas functional equation; fixed point theorem; normed space; Primary 39B82; 39B62; Secondary 47H10;
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摘要：
In this paper we first introduce a new concept of a functional equation called multi-Drygas equation. We deal with the generalized hyperstability results of the multi-Drygas functional equation on a restricted domain by applying the Brzdȩk’s fixed point theorem (Brzdȩk et al. in Nonlinear Anal. 74: 6728–6732, 2011, Theorem 1). Our main results improve and generalize results obtained in Aiemsombonn and Sintunavarat (Bull Aust Math Soc 92: 269–280, 2016), El-Fassi(J Fixed Point Theory Appl 9: 2529–2540, 2017), Piszczek, Szczawińska(J Funct Spaces Appl 2013: 912718, 2013) . Some applications of our results are also provided.
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