{"title":"完全 b 矩阿贝尔群中广义多德里加斯方程的超稳定性","authors":"Iz-iddine EL-Fassi","doi":"10.1016/j.bulsci.2024.103532","DOIUrl":null,"url":null,"abstract":"<div><div>The aim of this research is first to introduce and solve a certain class of generalized multi-Drygas equations. Under suitable assumptions, we prove an interesting result concerning the hyperstability of the generalized multi-Drygas functional equation in complete <em>b</em>-metric Abelian group by using the fixed point approach (cf. Dung and Hang (2018) <span><span>[21]</span></span>, Theorem 2.1). This research improves and extends the results obtained in EL-Fassi et al. (2023) <span><span>[26]</span></span>, Aiemsomboon and Sintunavarat (2017) <span><span>[3]</span></span>, EL-Fassi (2017) <span><span>[23]</span></span>, Piszczek and Szczawińska (2013) <span><span>[49]</span></span>. Some applications of our results are also presented.</div></div>","PeriodicalId":55313,"journal":{"name":"Bulletin des Sciences Mathematiques","volume":"197 ","pages":"Article 103532"},"PeriodicalIF":1.3000,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hyperstability of the generalized multi-Drygas equation in complete b-metric Abelian groups\",\"authors\":\"Iz-iddine EL-Fassi\",\"doi\":\"10.1016/j.bulsci.2024.103532\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The aim of this research is first to introduce and solve a certain class of generalized multi-Drygas equations. Under suitable assumptions, we prove an interesting result concerning the hyperstability of the generalized multi-Drygas functional equation in complete <em>b</em>-metric Abelian group by using the fixed point approach (cf. Dung and Hang (2018) <span><span>[21]</span></span>, Theorem 2.1). This research improves and extends the results obtained in EL-Fassi et al. (2023) <span><span>[26]</span></span>, Aiemsomboon and Sintunavarat (2017) <span><span>[3]</span></span>, EL-Fassi (2017) <span><span>[23]</span></span>, Piszczek and Szczawińska (2013) <span><span>[49]</span></span>. Some applications of our results are also presented.</div></div>\",\"PeriodicalId\":55313,\"journal\":{\"name\":\"Bulletin des Sciences Mathematiques\",\"volume\":\"197 \",\"pages\":\"Article 103532\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-11-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin des Sciences Mathematiques\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0007449724001507\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin des Sciences Mathematiques","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0007449724001507","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Hyperstability of the generalized multi-Drygas equation in complete b-metric Abelian groups
The aim of this research is first to introduce and solve a certain class of generalized multi-Drygas equations. Under suitable assumptions, we prove an interesting result concerning the hyperstability of the generalized multi-Drygas functional equation in complete b-metric Abelian group by using the fixed point approach (cf. Dung and Hang (2018) [21], Theorem 2.1). This research improves and extends the results obtained in EL-Fassi et al. (2023) [26], Aiemsomboon and Sintunavarat (2017) [3], EL-Fassi (2017) [23], Piszczek and Szczawińska (2013) [49]. Some applications of our results are also presented.
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